4640133637008 has 60 divisors (see below), whose sum is σ = 13112006581440. Its totient is φ = 1531694593728.

The previous prime is 4640133636899. The next prime is 4640133637091. The reversal of 4640133637008 is 8007363310464.

4640133637008 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 1 + 3 + 3 + 637 + 0 + 0 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 156408228 + ... + 156437891.

It is an arithmetic number, because the mean of its divisors is an integer number (218533443024).

Almost surely, 2^{4640133637008} is an apocalyptic number.

4640133637008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4640133637008 is an abundant number, since it is smaller than the sum of its proper divisors (8471872944432).

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

4640133637008 is a wasteful number, since it uses less digits than its factorization.

4640133637008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312846236 (or 312846227 counting only the distinct ones).

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

The spelling of 4640133637008 in words is "four trillion, six hundred forty billion, one hundred thirty-three million, six hundred thirty-seven thousand, eight".