621716624064 has 224 divisors, whose sum is σ = 1908421562880. Its totient is φ = 198101376000.

The previous prime is 621716623943. The next prime is 621716624099. The reversal of 621716624064 is 460426617126.

621716624064 is a `hidden beast` number, since 6 + 2 + 1 + 7 + 16 + 624 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76741614 + ... + 76749714.

It is an arithmetic number, because the mean of its divisors is an integer number (8519739120).

Almost surely, 2^621716624064 is an apocalyptic number.

621716624064 is a gapful number since it is divisible by the number (64) 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 621716624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954210781440).

621716624064 is an abundant number, since it is smaller than the sum of its proper divisors (1286704938816).

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

621716624064 is a wasteful number, since it uses less digits than its factorization.

621716624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 621716624064 in words is "six hundred twenty-one billion, seven hundred sixteen million, six hundred twenty-four thousand, sixty-four".