638580752472 has 384 divisors, whose sum is σ = 1924049756160. Its totient is φ = 175236203520.

The previous prime is 638580752437. The next prime is 638580752477. The reversal of 638580752472 is 274257085836.

It is a super-2 number, since 2×638580752472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638580752477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129186433 + ... + 129191375.

It is an arithmetic number, because the mean of its divisors is an integer number (5010546240).

Almost surely, 2^638580752472 is an apocalyptic number.

638580752472 is a gapful number since it is divisible by the number (62) 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 638580752472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962024878080).

638580752472 is an abundant number, since it is smaller than the sum of its proper divisors (1285469003688).

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

638580752472 is a wasteful number, since it uses less digits than its factorization.

638580752472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 638580752472 in words is "six hundred thirty-eight billion, five hundred eighty million, seven hundred fifty-two thousand, four hundred seventy-two".