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7680663264 = 253565314153
BaseRepresentation
bin1110010011100110…
…11001111011100000
3201211021112010020210
413021303121323200
5111212222211024
63310051134120
7361222363161
oct71163317340
921737463223
107680663264
113291596a9a
1215a42a4340
13955334a81
1452c0dd768
152ee46c129
hex1c9cd9ee0

7680663264 has 48 divisors (see below), whose sum is σ = 20166732432. Its totient is φ = 2559587328.

The previous prime is 7680663251. The next prime is 7680663269. The reversal of 7680663264 is 4623660867.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680663269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535612 + ... + 549764.

It is an arithmetic number, because the mean of its divisors is an integer number (420140259).

Almost surely, 27680663264 is an apocalyptic number.

It is an amenable number.

7680663264 is an abundant number, since it is smaller than the sum of its proper divisors (12486069168).

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

7680663264 is a wasteful number, since it uses less digits than its factorization.

7680663264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19819 (or 19811 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 7680663264 is about 87639.3933342763. The cubic root of 7680663264 is about 1973.0264546935.

The spelling of 7680663264 in words is "seven billion, six hundred eighty million, six hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5653 11306 14153 16959 22612 28306 33918 42459 45224 56612 67836 84918 90448 113224 135672 169836 180896 226448 271344 339672 452896 542688 679344 1358688 80006909 160013818 240020727 320027636 480041454 640055272 960082908 1280110544 1920165816 2560221088 3840331632 7680663264