621374738400 has 2592 divisors, whose sum is σ = 2808870220800. Its totient is φ = 131980492800.

The previous prime is 621374738389. The next prime is 621374738407. The reversal of 621374738400 is 4837473126.

621374738400 is a `hidden beast` number, since 6 + 2 + 137 + 473 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×621374738400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621374738407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 20044346385 + ... + 20044346415.

Almost surely, 2^621374738400 is an apocalyptic number.

621374738400 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 621374738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404435110400).

621374738400 is an abundant number, since it is smaller than the sum of its proper divisors (2187495482400).

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

621374738400 is a wasteful number, since it uses less digits than its factorization.

621374738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 621374738400 in words is "six hundred twenty-one billion, three hundred seventy-four million, seven hundred thirty-eight thousand, four hundred".