627530112864 has 144 divisors (see below), whose sum is σ = 1851315036480. Its totient is φ = 209099594880.

The previous prime is 627530112823. The next prime is 627530112883. The reversal of 627530112864 is 468211035726.

627530112864 is a `hidden beast` number, since 6 + 27 + 530 + 1 + 12 + 86 + 4 = 666.

627530112864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×627530112864² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23462379 + ... + 23489109.

It is an arithmetic number, because the mean of its divisors is an integer number (12856354420).

Almost surely, 2^627530112864 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 627530112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925657518240).

627530112864 is an abundant number, since it is smaller than the sum of its proper divisors (1223784923616).

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

627530112864 is a wasteful number, since it uses less digits than its factorization.

627530112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29775 (or 29755 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 627530112864 in words is "six hundred twenty-seven billion, five hundred thirty million, one hundred twelve thousand, eight hundred sixty-four".