465968764800 has 1920 divisors, whose sum is σ = 2205256711680. Its totient is φ = 94058496000.

The previous prime is 465968764777. The next prime is 465968764819. The reversal of 465968764800 is 8467869564.

465968764800 is a `hidden beast` number, since 4 + 65 + 96 + 8 + 7 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 738460485 + ... + 738461115.

It is an arithmetic number, because the mean of its divisors is an integer number (1148571204).

Almost surely, 2^465968764800 is an apocalyptic number.

465968764800 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 465968764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102628355840).

465968764800 is an abundant number, since it is smaller than the sum of its proper divisors (1739287946880).

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

465968764800 is a wasteful number, since it uses less digits than its factorization.

465968764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 465968764 and 800, that added together give a palindrome (465969564).

The spelling of 465968764800 in words is "four hundred sixty-five billion, nine hundred sixty-eight million, seven hundred sixty-four thousand, eight hundred".