468880093920 has 768 divisors, whose sum is σ = 1914055557120. Its totient is φ = 93975552000.

The previous prime is 468880093873. The next prime is 468880093931. The reversal of 468880093920 is 29390088864.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45512770 + ... + 45523070.

It is an arithmetic number, because the mean of its divisors is an integer number (2492259840).

Almost surely, 2^468880093920 is an apocalyptic number.

468880093920 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 468880093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957027778560).

468880093920 is an abundant number, since it is smaller than the sum of its proper divisors (1445175463200).

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

468880093920 is a wasteful number, since it uses less digits than its factorization.

468880093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 468880093920 in words is "four hundred sixty-eight billion, eight hundred eighty million, ninety-three thousand, nine hundred twenty".