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7640332380 = 22325139305369
BaseRepresentation
bin1110001110110011…
…00011100001011100
3201201110122002200100
413013121203201130
5111121411114010
63302050501100
7360222516342
oct70731434134
921643562610
107640332380
11327084a88a
121592894790
13949b83745
14526a01992
152eab522c0
hex1c766385c

7640332380 has 72 divisors (see below), whose sum is σ = 23342482800. Its totient is φ = 2022757632.

The previous prime is 7640332367. The next prime is 7640332387. The reversal of 7640332380 is 832330467.

7640332380 is a `hidden beast` number, since 7 + 640 + 3 + 3 + 2 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640332387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127665 + ... + 177704.

It is an arithmetic number, because the mean of its divisors is an integer number (324201150).

Almost surely, 27640332380 is an apocalyptic number.

It is an amenable number.

7640332380 is an abundant number, since it is smaller than the sum of its proper divisors (15702150420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7640332380 is a wasteful number, since it uses less digits than its factorization.

7640332380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305523 (or 305518 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7640332380 is about 87408.9948460683. The cubic root of 7640332380 is about 1969.5669622878.

The spelling of 7640332380 in words is "seven billion, six hundred forty million, three hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 305369 610738 916107 1221476 1526845 1832214 2748321 3053690 3664428 4580535 5496642 6107380 9161070 10993284 13741605 18322140 27483210 42446291 54966420 84892582 127338873 169785164 212231455 254677746 382016619 424462910 509355492 636694365 764033238 848925820 1273388730 1528066476 1910083095 2546777460 3820166190 7640332380