468092257257720 has 128 divisors (see below), whose sum is σ = 1456860326400000. Its totient is φ = 120190976547840.

The previous prime is 468092257257707. The next prime is 468092257257749. The reversal of 468092257257720 is 27752752290864.

It is a super-2 number, since 2×468092257257720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315418645 + ... + 316899204.

It is an arithmetic number, because the mean of its divisors is an integer number (11381721300000).

Almost surely, 2^{468092257257720} is an apocalyptic number.

468092257257720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468092257257720 is an abundant number, since it is smaller than the sum of its proper divisors (988768069142280).

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

468092257257720 is a wasteful number, since it uses less digits than its factorization.

468092257257720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632318093 (or 632318089 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 468092257257720 in words is "four hundred sixty-eight trillion, ninety-two billion, two hundred fifty-seven million, two hundred fifty-seven thousand, seven hundred twenty".