638617460756 has 96 divisors (see below), whose sum is σ = 1281194288640. Its totient is φ = 275979392000.

The previous prime is 638617460749. The next prime is 638617460771. The reversal of 638617460756 is 657064716836.

It is a super-2 number, since 2×638617460756² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 638617460695 and 638617460704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11041160 + ... + 11098848.

It is an arithmetic number, because the mean of its divisors is an integer number (13345773840).

Almost surely, 2^638617460756 is an apocalyptic number.

It is an amenable number.

638617460756 is an abundant number, since it is smaller than the sum of its proper divisors (642576827884).

638617460756 is a wasteful number, since it uses less digits than its factorization.

638617460756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57905 (or 57903 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 638617460756 in words is "six hundred thirty-eight billion, six hundred seventeen million, four hundred sixty thousand, seven hundred fifty-six".