468726086400 has 864 divisors, whose sum is σ = 1841185489920. Its totient is φ = 103514112000.

The previous prime is 468726086377. The next prime is 468726086417. The reversal of 468726086400 is 4680627864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216901320 + ... + 216903480.

Almost surely, 2^468726086400 is an apocalyptic number.

468726086400 is a gapful number since it is divisible by the number (40) 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 468726086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920592744960).

468726086400 is an abundant number, since it is smaller than the sum of its proper divisors (1372459403520).

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

468726086400 is a wasteful number, since it uses less digits than its factorization.

468726086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 468726086400 in words is "four hundred sixty-eight billion, seven hundred twenty-six million, eighty-six thousand, four hundred".