468800709120 has 480 divisors, whose sum is σ = 1680162891264. Its totient is φ = 120803696640.

The previous prime is 468800709101. The next prime is 468800709137. The reversal of 468800709120 is 21907008864.

468800709120 is a `hidden beast` number, since 468 + 80 + 0 + 7 + 0 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686384299 + ... + 686384981.

Almost surely, 2^468800709120 is an apocalyptic number.

468800709120 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 468800709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840081445632).

468800709120 is an abundant number, since it is smaller than the sum of its proper divisors (1211362182144).

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

468800709120 is an frugal number, since it uses more digits than its factorization.

468800709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 468800709120 in words is "four hundred sixty-eight billion, eight hundred million, seven hundred nine thousand, one hundred twenty".