638364796800 has 1536 divisors, whose sum is σ = 2513410560000. Its totient is φ = 141203865600.

The previous prime is 638364796753. The next prime is 638364796859. The reversal of 638364796800 is 8697463836.

It is a super-2 number, since 2×638364796800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2787619086 + ... + 2787619314.

It is an arithmetic number, because the mean of its divisors is an integer number (1636335000).

Almost surely, 2^638364796800 is an apocalyptic number.

638364796800 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 638364796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256705280000).

638364796800 is an abundant number, since it is smaller than the sum of its proper divisors (1875045763200).

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

638364796800 is a wasteful number, since it uses less digits than its factorization.

638364796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 638364796800 in words is "six hundred thirty-eight billion, three hundred sixty-four million, seven hundred ninety-six thousand, eight hundred".