468676237176000 has 1344 divisors, whose sum is σ = 2026088298823680. Its totient is φ = 101141637120000.

The previous prime is 468676237175999. The next prime is 468676237176139. The reversal of 468676237176000 is 671732676864.

468676237176000 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 7 + 6 + 2 + 3 + 7 + 17 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 640218181 + ... + 640949819.

It is an arithmetic number, because the mean of its divisors is an integer number (1507506174720).

Almost surely, 2^{468676237176000} is an apocalyptic number.

468676237176000 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 468676237176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013044149411840).

468676237176000 is an abundant number, since it is smaller than the sum of its proper divisors (1557412061647680).

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

468676237176000 is a wasteful number, since it uses less digits than its factorization.

468676237176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731751 (or 731728 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 468676237176000 in words is "four hundred sixty-eight trillion, six hundred seventy-six billion, two hundred thirty-seven million, one hundred seventy-six thousand".