468770378160 has 640 divisors, whose sum is σ = 1735381499904. Its totient is φ = 102454087680.

The previous prime is 468770378149. The next prime is 468770378177. The reversal of 468770378160 is 61873077864.

It is a self number, because there is not a number n which added to its sum of digits gives 468770378160.

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 127 ways as a sum of consecutive naturals, for example, 1350923107 + ... + 1350923453.

Almost surely, 2^468770378160 is an apocalyptic number.

468770378160 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 468770378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867690749952).

468770378160 is an abundant number, since it is smaller than the sum of its proper divisors (1266611121744).

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

468770378160 is a wasteful number, since it uses less digits than its factorization.

468770378160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 468770378160 in words is "four hundred sixty-eight billion, seven hundred seventy million, three hundred seventy-eight thousand, one hundred sixty".