468193064976000 has 7680 divisors, whose sum is σ = 2351146829391360. Its totient is φ = 89973669888000.

The previous prime is 468193064975947. The next prime is 468193064976037. The reversal of 468193064976000 is 679460391864.

468193064976000 is a `hidden beast` number, since 4 + 6 + 8 + 19 + 3 + 0 + 6 + 4 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 15103002095985 + ... + 15103002096015.

It is an arithmetic number, because the mean of its divisors is an integer number (306138910077).

Almost surely, 2^{468193064976000} is an apocalyptic number.

468193064976000 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 468193064976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175573414695680).

468193064976000 is an abundant number, since it is smaller than the sum of its proper divisors (1882953764415360).

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

468193064976000 is an frugal number, since it uses more digits than its factorization.

468193064976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 468193064976000 in words is "four hundred sixty-eight trillion, one hundred ninety-three billion, sixty-four million, nine hundred seventy-six thousand".