621438068160 has 1344 divisors, whose sum is σ = 2815120998144. Its totient is φ = 122093568000.

The previous prime is 621438068123. The next prime is 621438068201. The reversal of 621438068160 is 61860834126.

621438068160 is a `hidden beast` number, since 621 + 4 + 3 + 8 + 0 + 6 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 449990670 + ... + 449992050.

It is an arithmetic number, because the mean of its divisors is an integer number (2094584076).

Almost surely, 2^621438068160 is an apocalyptic number.

621438068160 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 621438068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407560499072).

621438068160 is an abundant number, since it is smaller than the sum of its proper divisors (2193682929984).

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

621438068160 is a wasteful number, since it uses less digits than its factorization.

621438068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 621438068160 in words is "six hundred twenty-one billion, four hundred thirty-eight million, sixty-eight thousand, one hundred sixty".