468596164080 has 320 divisors, whose sum is σ = 1679130528768. Its totient is φ = 106839982080.

The previous prime is 468596164061. The next prime is 468596164103. The reversal of 468596164080 is 80461695864.

It is a self number, because there is not a number n which added to its sum of digits gives 468596164080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82890534 + ... + 82896186.

Almost surely, 2^468596164080 is an apocalyptic number.

468596164080 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 468596164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839565264384).

468596164080 is an abundant number, since it is smaller than the sum of its proper divisors (1210534364688).

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

468596164080 is a wasteful number, since it uses less digits than its factorization.

468596164080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 468596164080 in words is "four hundred sixty-eight billion, five hundred ninety-six million, one hundred sixty-four thousand, eighty".