464877772800 has 672 divisors, whose sum is σ = 1849470316800. Its totient is φ = 100647567360.

The previous prime is 464877772693. The next prime is 464877772861. The reversal of 464877772800 is 8277778464.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×464877772800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 81712356 + ... + 81718044.

Almost surely, 2^464877772800 is an apocalyptic number.

464877772800 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 464877772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924735158400).

464877772800 is an abundant number, since it is smaller than the sum of its proper divisors (1384592544000).

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

464877772800 is a wasteful number, since it uses less digits than its factorization.

464877772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5725 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 60.

The spelling of 464877772800 in words is "four hundred sixty-four billion, eight hundred seventy-seven million, seven hundred seventy-two thousand, eight hundred".