623257608960 has 648 divisors, whose sum is σ = 2589463933056. Its totient is φ = 137859563520.

The previous prime is 623257608949. The next prime is 623257608983. The reversal of 623257608960 is 69806752326.

623257608960 is a `hidden beast` number, since 6 + 2 + 3 + 2 + 576 + 0 + 8 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 623257608897 and 623257608906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17481072 + ... + 17516688.

Almost surely, 2^623257608960 is an apocalyptic number.

623257608960 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 623257608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294731966528).

623257608960 is an abundant number, since it is smaller than the sum of its proper divisors (1966206324096).

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

623257608960 is a wasteful number, since it uses less digits than its factorization.

623257608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35689 (or 35665 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 623257608960 in words is "six hundred twenty-three billion, two hundred fifty-seven million, six hundred eight thousand, nine hundred sixty".