7635537125664 has 96 divisors (see below), whose sum is σ = 23081471271936. Its totient is φ = 2164928712960.

The previous prime is 7635537125653. The next prime is 7635537125669. The reversal of 7635537125664 is 4665217355367.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 7635537125598 and 7635537125607.

It is not an unprimeable number, because it can be changed into a prime (7635537125669) 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, 43279932 + ... + 43455995.

It is an arithmetic number, because the mean of its divisors is an integer number (240431992416).

Almost surely, 2^{7635537125664} is an apocalyptic number.

It is an amenable number.

7635537125664 is an abundant number, since it is smaller than the sum of its proper divisors (15445934146272).

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

7635537125664 is a wasteful number, since it uses less digits than its factorization.

7635537125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86736078 (or 86736070 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 60.

The spelling of 7635537125664 in words is "seven trillion, six hundred thirty-five billion, five hundred thirty-seven million, one hundred twenty-five thousand, six hundred sixty-four".