4624935640164 has 432 divisors, whose sum is σ = 14866257369600. Its totient is φ = 1204900849152.

The previous prime is 4624935640163. The next prime is 4624935640183. The reversal of 4624935640164 is 4610465394264.

4624935640164 is a `hidden beast` number, since 4 + 6 + 2 + 493 + 56 + 40 + 1 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4624935640164.

It is not an unprimeable number, because it can be changed into a prime (4624935640163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92925574 + ... + 92975330.

It is an arithmetic number, because the mean of its divisors is an integer number (34412632800).

Almost surely, 2^{4624935640164} 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 4624935640164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433128684800).

4624935640164 is an abundant number, since it is smaller than the sum of its proper divisors (10241321729436).

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

4624935640164 is a wasteful number, since it uses less digits than its factorization.

4624935640164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49912 (or 49900 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 4624935640164 in words is "four trillion, six hundred twenty-four billion, nine hundred thirty-five million, six hundred forty thousand, one hundred sixty-four".