610624399680 has 336 divisors, whose sum is σ = 2179003008000. Its totient is φ = 156784066560.

The previous prime is 610624399669. The next prime is 610624399687. The reversal of 610624399680 is 86993426016.

610624399680 is a `hidden beast` number, since 6 + 1 + 0 + 624 + 3 + 9 + 9 + 6 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610624399687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17749536 + ... + 17783904.

It is an arithmetic number, because the mean of its divisors is an integer number (6485128000).

Almost surely, 2^610624399680 is an apocalyptic number.

610624399680 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 610624399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089501504000).

610624399680 is an abundant number, since it is smaller than the sum of its proper divisors (1568378608320).

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

610624399680 is a wasteful number, since it uses less digits than its factorization.

610624399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34622 (or 34609 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 610624399680 in words is "six hundred ten billion, six hundred twenty-four million, three hundred ninety-nine thousand, six hundred eighty".