7641025728 has 56 divisors (see below), whose sum is σ = 23105010432. Its totient is φ = 2183149824.

The previous prime is 7641025699. The next prime is 7641025729. The reversal of 7641025728 is 8275201467.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7641025728.

It is not an unprimeable number, because it can be changed into a prime (7641025729) 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, 2841300 + ... + 2843987.

It is an arithmetic number, because the mean of its divisors is an integer number (412589472).

Almost surely, 2^7641025728 is an apocalyptic number.

It is an amenable number.

7641025728 is an abundant number, since it is smaller than the sum of its proper divisors (15463984704).

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

7641025728 is a wasteful number, since it uses less digits than its factorization.

7641025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685309 (or 5685299 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7641025728 is about 87412.9608696559. The cubic root of 7641025728 is about 1969.6265388411.

The spelling of 7641025728 in words is "seven billion, six hundred forty-one million, twenty-five thousand, seven hundred twenty-eight".