638053500672 has 720 divisors, whose sum is σ = 2242963548672. Its totient is φ = 176620953600.

The previous prime is 638053500653. The next prime is 638053500691. The reversal of 638053500672 is 276005350836.

638053500672 is a `hidden beast` number, since 6 + 3 + 80 + 5 + 3 + 500 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (638053500653) and next prime (638053500691).

It is a super-2 number, since 2×638053500672² (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 79 ways as a sum of consecutive naturals, for example, 942471598 + ... + 942472274.

Almost surely, 2^638053500672 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 638053500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121481774336).

638053500672 is an abundant number, since it is smaller than the sum of its proper divisors (1604910048000).

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

638053500672 is a wasteful number, since it uses less digits than its factorization.

638053500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 638053500672 in words is "six hundred thirty-eight billion, fifty-three million, five hundred thousand, six hundred seventy-two".