764482005504 has 320 divisors, whose sum is σ = 2588500992000. Its totient is φ = 218228649984.

The previous prime is 764482005457. The next prime is 764482005517. The reversal of 764482005504 is 405500284467.

764482005504 is a `hidden beast` number, since 7 + 64 + 4 + 82 + 0 + 0 + 5 + 504 = 666.

764482005504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 764482005504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135375609 + ... + 135381255.

It is an arithmetic number, because the mean of its divisors is an integer number (8089065600).

Almost surely, 2^764482005504 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 764482005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294250496000).

764482005504 is an abundant number, since it is smaller than the sum of its proper divisors (1824018986496).

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

764482005504 is a wasteful number, since it uses less digits than its factorization.

764482005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7080 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 764482005504 in words is "seven hundred sixty-four billion, four hundred eighty-two million, five thousand, five hundred four".