638904275100 has 1584 divisors, whose sum is σ = 2712374521920. Its totient is φ = 126978969600.

The previous prime is 638904275057. The next prime is 638904275117. The reversal of 638904275100 is 1572409836.

638904275100 is a `hidden beast` number, since 6 + 3 + 8 + 90 + 42 + 7 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 15583031080 + ... + 15583031120.

It is a 1-persistent number, because it is pandigital, but 2⋅638904275100 = 1277808550200 is not.

Almost surely, 2^638904275100 is an apocalyptic number.

638904275100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638904275100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356187260960).

638904275100 is an abundant number, since it is smaller than the sum of its proper divisors (2073470246820).

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

638904275100 is a wasteful number, since it uses less digits than its factorization.

638904275100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 638904275100 in words is "six hundred thirty-eight billion, nine hundred four million, two hundred seventy-five thousand, one hundred".