7655468160 has 128 divisors (see below), whose sum is σ = 24493512960. Its totient is φ = 2033786880.

The previous prime is 7655468071. The next prime is 7655468167. The reversal of 7655468160 is 618645567.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 (7655468167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512964 + ... + 527676.

It is an arithmetic number, because the mean of its divisors is an integer number (191355570).

Almost surely, 2^7655468160 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 7655468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246756480).

7655468160 is an abundant number, since it is smaller than the sum of its proper divisors (16838044800).

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

7655468160 is a wasteful number, since it uses less digits than its factorization.

7655468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 7655468160 is about 87495.5322287944. The cubic root of 7655468160 is about 1970.8666993007.

The spelling of 7655468160 in words is "seven billion, six hundred fifty-five million, four hundred sixty-eight thousand, one hundred sixty".