4632633864 has 128 divisors (see below), whose sum is σ = 13110988800. Its totient is φ = 1515386880.

The previous prime is 4632633851. The next prime is 4632633883. The reversal of 4632633864 is 4683362364.

4632633864 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 633 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×4632633864² = 42922593035759140992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 2660034 + ... + 2661774.

It is an arithmetic number, because the mean of its divisors is an integer number (102429600).

Almost surely, 2^4632633864 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 4632633864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555494400).

4632633864 is an abundant number, since it is smaller than the sum of its proper divisors (8478354936).

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

4632633864 is a wasteful number, since it uses less digits than its factorization.

4632633864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 4632633864 is about 68063.4546875194. The cubic root of 4632633864 is about 1667.0270968395.

The spelling of 4632633864 in words is "four billion, six hundred thirty-two million, six hundred thirty-three thousand, eight hundred sixty-four".