628631662752 has 384 divisors, whose sum is σ = 1992755520000. Its totient is φ = 192196730880.

The previous prime is 628631662741. The next prime is 628631662759. The reversal of 628631662752 is 257266136826.

628631662752 is a `hidden beast` number, since 6 + 2 + 8 + 6 + 3 + 1 + 6 + 627 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (628631662759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85863252 + ... + 85870572.

It is an arithmetic number, because the mean of its divisors is an integer number (5189467500).

Almost surely, 2^628631662752 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 628631662752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996377760000).

628631662752 is an abundant number, since it is smaller than the sum of its proper divisors (1364123857248).

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

628631662752 is a wasteful number, since it uses less digits than its factorization.

628631662752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7527 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 628631662752 in words is "six hundred twenty-eight billion, six hundred thirty-one million, six hundred sixty-two thousand, seven hundred fifty-two".