468108806400 has 864 divisors, whose sum is σ = 1885712640000. Its totient is φ = 113099120640.

The previous prime is 468108806393. The next prime is 468108806413. The reversal of 468108806400 is 4608801864.

468108806400 is a `hidden beast` number, since 4 + 68 + 108 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75510501 + ... + 75516699.

Almost surely, 2^468108806400 is an apocalyptic number.

468108806400 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 468108806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942856320000).

468108806400 is an abundant number, since it is smaller than the sum of its proper divisors (1417603833600).

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

468108806400 is a wasteful number, since it uses less digits than its factorization.

468108806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 468108806400 in words is "four hundred sixty-eight billion, one hundred eight million, eight hundred six thousand, four hundred".