468962376960 has 1152 divisors, whose sum is σ = 1918995369984. Its totient is φ = 94796513280.

The previous prime is 468962376943. The next prime is 468962376983. The reversal of 468962376960 is 69673269864.

It is a super-2 number, since 2×468962376960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 468962376891 and 468962376900.

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, 2380519582 + ... + 2380519778.

It is an arithmetic number, because the mean of its divisors is an integer number (1665794592).

Almost surely, 2^468962376960 is an apocalyptic number.

468962376960 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 468962376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959497684992).

468962376960 is an abundant number, since it is smaller than the sum of its proper divisors (1450032993024).

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

468962376960 is a wasteful number, since it uses less digits than its factorization.

468962376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 468962376960 in words is "four hundred sixty-eight billion, nine hundred sixty-two million, three hundred seventy-six thousand, nine hundred sixty".