468888784933680 has 400 divisors, whose sum is σ = 1754142408843264. Its totient is φ = 115742532026880.

The previous prime is 468888784933669. The next prime is 468888784933799. The reversal of 468888784933680 is 86339487888864.

468888784933680 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 8 + 8 + 7 + 8 + 493 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46122664 + ... + 55363143.

Almost surely, 2^{468888784933680} is an apocalyptic number.

468888784933680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468888784933680 is an abundant number, since it is smaller than the sum of its proper divisors (1285253623909584).

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

468888784933680 is a wasteful number, since it uses less digits than its factorization.

468888784933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101485886 (or 101485871 counting only the distinct ones).

The product of its (nonzero) digits is 85614133248, while the sum is 90.

The spelling of 468888784933680 in words is "four hundred sixty-eight trillion, eight hundred eighty-eight billion, seven hundred eighty-four million, nine hundred thirty-three thousand, six hundred eighty".