80621568000 has 640 divisors, whose sum is σ = 301837433040. Its totient is φ = 21499084800.

The previous prime is 80621567981. The next prime is 80621568011. The reversal of 80621568000 is 86512608.

It is a happy number.

The cubic root of 80621568000 is 4320.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (3!)³.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16124313598 + ... + 16124313602.

Almost surely, 2^80621568000 is an apocalyptic number.

80621568000 is a gapful number since it is divisible by the number (80) 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 80621568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150918716520).

80621568000 is an abundant number, since it is smaller than the sum of its proper divisors (221215865040).

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

80621568000 is an frugal number, since it uses more digits than its factorization.

80621568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 80621568000 in words is "eighty billion, six hundred twenty-one million, five hundred sixty-eight thousand".