468082540800 has 2592 divisors, whose sum is σ = 2184669061120. Its totient is φ = 96745881600.

The previous prime is 468082540763. The next prime is 468082540811. The reversal of 468082540800 is 8045280864.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6412089564 + ... + 6412089636.

Almost surely, 2^468082540800 is an apocalyptic number.

468082540800 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 468082540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092334530560).

468082540800 is an abundant number, since it is smaller than the sum of its proper divisors (1716586520320).

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

468082540800 is a wasteful number, since it uses less digits than its factorization.

468082540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 468082540800 in words is "four hundred sixty-eight billion, eighty-two million, five hundred forty thousand, eight hundred".