628517630880 has 144 divisors (see below), whose sum is σ = 2174197825800. Its totient is φ = 165308719104.

The previous prime is 628517630869. The next prime is 628517630971. The reversal of 628517630880 is 88036715826.

628517630880 is a `hidden beast` number, since 62 + 8 + 517 + 63 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 626940905616 + 1576725264 = 791796^2 + 39708^2 .

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

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, 2884405 + ... + 3094644.

Almost surely, 2^628517630880 is an apocalyptic number.

628517630880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628517630880 is an abundant number, since it is smaller than the sum of its proper divisors (1545680194920).

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

628517630880 is a wasteful number, since it uses less digits than its factorization.

628517630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979143 (or 5979132 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 628517630880 in words is "six hundred twenty-eight billion, five hundred seventeen million, six hundred thirty thousand, eight hundred eighty".