468267566320 has 80 divisors (see below), whose sum is σ = 1155976816320. Its totient is φ = 175797727232.

The previous prime is 468267566317. The next prime is 468267566383. The reversal of 468267566320 is 23665762864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8694 + ... + 967786.

It is an arithmetic number, because the mean of its divisors is an integer number (14449710204).

Almost surely, 2^468267566320 is an apocalyptic number.

468267566320 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 468267566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577988408160).

468267566320 is an abundant number, since it is smaller than the sum of its proper divisors (687709250000).

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

468267566320 is a wasteful number, since it uses less digits than its factorization.

468267566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959482 (or 959476 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 468267566320 in words is "four hundred sixty-eight billion, two hundred sixty-seven million, five hundred sixty-six thousand, three hundred twenty".