465180668064000 has 2304 divisors, whose sum is σ = 2067654986342400. Its totient is φ = 100615716864000.

The previous prime is 465180668063989. The next prime is 465180668064043. The reversal of 465180668064000 is 460866081564.

465180668064000 is a `hidden beast` number, since 4 + 6 + 518 + 0 + 6 + 6 + 80 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134561950272 + ... + 134561953728.

Almost surely, 2^{465180668064000} is an apocalyptic number.

465180668064000 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 465180668064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033827493171200).

465180668064000 is an abundant number, since it is smaller than the sum of its proper divisors (1602474318278400).

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

465180668064000 is a wasteful number, since it uses less digits than its factorization.

465180668064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 465180668064000 in words is "four hundred sixty-five trillion, one hundred eighty billion, six hundred sixty-eight million, sixty-four thousand".