4635633672 has 64 divisors (see below), whose sum is σ = 12883680000. Its totient is φ = 1544380992.

The previous prime is 4635633671. The next prime is 4635633683. The reversal of 4635633672 is 2763365364.

4635633672 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 633 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4635633671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499329 + ... + 508527.

It is an arithmetic number, because the mean of its divisors is an integer number (201307500).

Almost surely, 2^4635633672 is an apocalyptic number.

It is an amenable number.

4635633672 is an abundant number, since it is smaller than the sum of its proper divisors (8248046328).

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

4635633672 is a wasteful number, since it uses less digits than its factorization.

4635633672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11547 (or 11537 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The square root of 4635633672 is about 68085.4879691701. The cubic root of 4635633672 is about 1667.3868405161.

The spelling of 4635633672 in words is "four billion, six hundred thirty-five million, six hundred thirty-three thousand, six hundred seventy-two".