621632880 has 640 divisors, whose sum is σ = 2635545600. Its totient is φ = 134369280.

The previous prime is 621632831. The next prime is 621632929. The reversal of 621632880 is 88236126.

621632880 is a `hidden beast` number, since 621 + 6 + 3 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (621632831) and next prime (621632929).

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 127 ways as a sum of consecutive naturals, for example, 32717511 + ... + 32717529.

It is an arithmetic number, because the mean of its divisors is an integer number (4118040).

Almost surely, 2^621632880 is an apocalyptic number.

621632880 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 621632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317772800).

621632880 is an abundant number, since it is smaller than the sum of its proper divisors (2013912720).

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

621632880 is a wasteful number, since it uses less digits than its factorization.

621632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 621632880 is about 24932.5666548793. The cubic root of 621632880 is about 853.4498226931.

The spelling of 621632880 in words is "six hundred twenty-one million, six hundred thirty-two thousand, eight hundred eighty".