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7606663680 = 293571119677
BaseRepresentation
bin1110001010110010…
…00111101000000000
3201122010021112220110
413011121013220000
5111034301214210
63254445111320
7356333401020
oct70531075000
921563245813
107606663680
113253844010
121583558540
13942bc5935
14522359a80
152e7c01420
hex1c5647a00

7606663680 has 640 divisors, whose sum is σ = 31960811520. Its totient is φ = 1495203840.

The previous prime is 7606663643. The next prime is 7606663681. The reversal of 7606663680 is 863666067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×76066636802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7606663681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11235502 + ... + 11236178.

It is an arithmetic number, because the mean of its divisors is an integer number (49938768).

Almost surely, 27606663680 is an apocalyptic number.

7606663680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7606663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980405760).

7606663680 is an abundant number, since it is smaller than the sum of its proper divisors (24354147840).

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

7606663680 is a wasteful number, since it uses less digits than its factorization.

7606663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 7606663680 is about 87216.1893228545. The cubic root of 7606663680 is about 1966.6696011958.

The spelling of 7606663680 in words is "seven billion, six hundred six million, six hundred sixty-three thousand, six hundred eighty".