765256040640 has 560 divisors, whose sum is σ = 3350349237312. Its totient is φ = 161460117504.

The previous prime is 765256040617. The next prime is 765256040669. The reversal of 765256040640 is 46040652567.

765256040640 is a `hidden beast` number, since 7 + 6 + 5 + 2 + 560 + 40 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2196502 + ... + 2520938.

Almost surely, 2^765256040640 is an apocalyptic number.

765256040640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765256040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675174618656).

765256040640 is an abundant number, since it is smaller than the sum of its proper divisors (2585093196672).

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

765256040640 is a wasteful number, since it uses less digits than its factorization.

765256040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324486 (or 324467 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 765256040640 in words is "seven hundred sixty-five billion, two hundred fifty-six million, forty thousand, six hundred forty".