772130135002464 has 144 divisors (see below), whose sum is σ = 2509570308379680. Its totient is φ = 220595654430720.

The previous prime is 772130135002439. The next prime is 772130135002481. The reversal of 772130135002464 is 464200531031277.

It is a happy number.

772130135002464 is a `hidden beast` number, since 7 + 7 + 2 + 130 + 1 + 3 + 50 + 0 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23117022 + ... + 45592290.

It is an arithmetic number, because the mean of its divisors is an integer number (17427571585970).

Almost surely, 2^{772130135002464} is an apocalyptic number.

It is an amenable number.

772130135002464 is an abundant number, since it is smaller than the sum of its proper divisors (1737440173377216).

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

772130135002464 is a wasteful number, since it uses less digits than its factorization.

772130135002464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22492333 (or 22492322 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 772130135002464 in words is "seven hundred seventy-two trillion, one hundred thirty billion, one hundred thirty-five million, two thousand, four hundred sixty-four".