468064396800 has 3600 divisors, whose sum is σ = 2400720781536. Its totient is φ = 87588864000.

The previous prime is 468064396771. The next prime is 468064396817. The reversal of 468064396800 is 8693460864.

468064396800 is a `hidden beast` number, since 46 + 80 + 64 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11416204780 + ... + 11416204820.

Almost surely, 2^468064396800 is an apocalyptic number.

468064396800 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 468064396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200360390768).

468064396800 is an abundant number, since it is smaller than the sum of its proper divisors (1932656384736).

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

468064396800 is a wasteful number, since it uses less digits than its factorization.

468064396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 468064396800 in words is "four hundred sixty-eight billion, sixty-four million, three hundred ninety-six thousand, eight hundred".