4632647753664 has 784 divisors, whose sum is σ = 16730852073408. Its totient is φ = 1241858801664.

The previous prime is 4632647753623. The next prime is 4632647753683. The reversal of 4632647753664 is 4663577462364.

4632647753664 is a `hidden beast` number, since 4 + 6 + 3 + 26 + 4 + 77 + 536 + 6 + 4 = 666.

It is a super-2 number, since 2×4632647753664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 2070918754 + ... + 2070920990.

Almost surely, 2^{4632647753664} 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 4632647753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365426036704).

4632647753664 is an abundant number, since it is smaller than the sum of its proper divisors (12098204319744).

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

4632647753664 is a wasteful number, since it uses less digits than its factorization.

4632647753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2639 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 63.

The spelling of 4632647753664 in words is "four trillion, six hundred thirty-two billion, six hundred forty-seven million, seven hundred fifty-three thousand, six hundred sixty-four".