7904632464 has 135 divisors (see below), whose sum is σ = 22954667619. Its totient is φ = 2539212480.

The previous prime is 7904632459. The next prime is 7904632471. The reversal of 7904632464 is 4642364097.

It is a happy number.

The square root of 7904632464 is 88908.

It is a perfect power (a square), and thus also a powerful number.

7904632464 is a `hidden beast` number, since 7 + 9 + 0 + 4 + 632 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×7904632464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33073657 + ... + 33073895.

Almost surely, 2^7904632464 is an apocalyptic number.

7904632464 is the 88908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7904632464

7904632464 is an abundant number, since it is smaller than the sum of its proper divisors (15050035155).

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

7904632464 is a wasteful number, since it uses less digits than its factorization.

7904632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The cubic root of 7904632464 is about 1992.0209147656.

The spelling of 7904632464 in words is "seven billion, nine hundred four million, six hundred thirty-two thousand, four hundred sixty-four".