638770120560 has 480 divisors, whose sum is σ = 2601549490176. Its totient is φ = 138329856000.

The previous prime is 638770120553. The next prime is 638770120601. The reversal of 638770120560 is 65021077836.

638770120560 is a `hidden beast` number, since 6 + 3 + 8 + 7 + 70 + 12 + 0 + 560 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3091695 + ... + 3291825.

Almost surely, 2^638770120560 is an apocalyptic number.

638770120560 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 638770120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300774745088).

638770120560 is an abundant number, since it is smaller than the sum of its proper divisors (1962779369616).

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

638770120560 is a wasteful number, since it uses less digits than its factorization.

638770120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200205 (or 200196 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 638770120560 in words is "six hundred thirty-eight billion, seven hundred seventy million, one hundred twenty thousand, five hundred sixty".