468632831385600 has 8064 divisors, whose sum is σ = 2262171979584000. Its totient is φ = 94389581905920.

The previous prime is 468632831385599. The next prime is 468632831385617. The reversal of 468632831385600 is 6583138236864.

468632831385600 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 3 + 2 + 8 + 3 + 13 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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 575 ways as a sum of consecutive naturals, for example, 6419627827164 + ... + 6419627827236.

Almost surely, 2^{468632831385600} is an apocalyptic number.

468632831385600 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 468632831385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131085989792000).

468632831385600 is an abundant number, since it is smaller than the sum of its proper divisors (1793539148198400).

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

468632831385600 is a wasteful number, since it uses less digits than its factorization.

468632831385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 468632831385600 in words is "four hundred sixty-eight trillion, six hundred thirty-two billion, eight hundred thirty-one million, three hundred eighty-five thousand, six hundred".