4864032576 has 84 divisors (see below), whose sum is σ = 15014345892. Its totient is φ = 1496623104.

The previous prime is 4864032541. The next prime is 4864032599. The reversal of 4864032576 is 6752304684.

4864032576 is a `hidden beast` number, since 4 + 8 + 6 + 40 + 32 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 633830976 + 4230201600 = 25176^2 + 65040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317301 + ... + 332276.

It is an arithmetic number, because the mean of its divisors is an integer number (178742213).

Almost surely, 2^4864032576 is an apocalyptic number.

It is an amenable number.

4864032576 is an abundant number, since it is smaller than the sum of its proper divisors (10150313316).

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

4864032576 is a wasteful number, since it uses less digits than its factorization.

4864032576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649608 (or 649595 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4864032576 is about 69742.6166414768. The cubic root of 4864032576 is about 1694.3332162097. Note that the first 3 decimals are identical.

The spelling of 4864032576 in words is "four billion, eight hundred sixty-four million, thirty-two thousand, five hundred seventy-six".