464625951068160 has 1664 divisors, whose sum is σ = 1989070252646400. Its totient is φ = 100512521256960.

The previous prime is 464625951068117. The next prime is 464625951068189. The reversal of 464625951068160 is 61860159526464.

464625951068160 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 2 + 59 + 510 + 6 + 8 + 1 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 95386150525 + ... + 95386155395.

Almost surely, 2^{464625951068160} is an apocalyptic number.

464625951068160 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 464625951068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994535126323200).

464625951068160 is an abundant number, since it is smaller than the sum of its proper divisors (1524444301578240).

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

464625951068160 is a wasteful number, since it uses less digits than its factorization.

464625951068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 464625951068160 in words is "four hundred sixty-four trillion, six hundred twenty-five billion, nine hundred fifty-one million, sixty-eight thousand, one hundred sixty".