7655938560 has 480 divisors, whose sum is σ = 28455178752. Its totient is φ = 1970749440.

The previous prime is 7655938517. The next prime is 7655938579. The reversal of 7655938560 is 658395567.

7655938560 is a `hidden beast` number, since 7 + 6 + 559 + 3 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7655938560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7655938497 and 7655938506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19284282 + ... + 19284678.

Almost surely, 2^7655938560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7655938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227589376).

7655938560 is an abundant number, since it is smaller than the sum of its proper divisors (20799240192).

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

7655938560 is an equidigital number, since it uses as much as digits as its factorization.

7655938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 7655938560 is about 87498.2203247586. The cubic root of 7655938560 is about 1970.9070659461.

The spelling of 7655938560 in words is "seven billion, six hundred fifty-five million, nine hundred thirty-eight thousand, five hundred sixty".