4636405704168 has 1152 divisors, whose sum is σ = 16511705683200. Its totient is φ = 1180210176000.

The previous prime is 4636405704157. The next prime is 4636405704193. The reversal of 4636405704168 is 8614075046364.

4636405704168 is a `hidden beast` number, since 4 + 6 + 3 + 6 + 4 + 0 + 570 + 4 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25615501038 + ... + 25615501218.

It is an arithmetic number, because the mean of its divisors is an integer number (14333077850).

Almost surely, 2^{4636405704168} 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 4636405704168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255852841600).

4636405704168 is an abundant number, since it is smaller than the sum of its proper divisors (11875299979032).

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

4636405704168 is a wasteful number, since it uses less digits than its factorization.

4636405704168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4636405704168 in words is "four trillion, six hundred thirty-six billion, four hundred five million, seven hundred four thousand, one hundred sixty-eight".