468367232788800 has 252 divisors, whose sum is σ = 1672021169840736. Its totient is φ = 124347716736000.

The previous prime is 468367232788751. The next prime is 468367232788801. The reversal of 468367232788800 is 8887232763864.

468367232788800 is a `hidden beast` number, since 4 + 6 + 83 + 6 + 72 + 327 + 88 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468367232788801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68373276 + ... + 74910875.

Almost surely, 2^{468367232788800} is an apocalyptic number.

468367232788800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468367232788800 is an abundant number, since it is smaller than the sum of its proper divisors (1203653937051936).

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

468367232788800 is a wasteful number, since it uses less digits than its factorization.

468367232788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143284406 (or 143284388 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 468367232788800 in words is "four hundred sixty-eight trillion, three hundred sixty-seven billion, two hundred thirty-two million, seven hundred eighty-eight thousand, eight hundred".