468785775024 has 480 divisors, whose sum is σ = 1596651696640. Its totient is φ = 130365075456.

The previous prime is 468785774921. The next prime is 468785775053. The reversal of 468785775024 is 420577587864.

It is a happy number.

468785775024 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 8 + 577 + 50 + 2 + 4 = 666.

468785775024 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464603832 + ... + 464604840.

Almost surely, 2^468785775024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468785775024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798325848320).

468785775024 is an abundant number, since it is smaller than the sum of its proper divisors (1127865921616).

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

468785775024 is a wasteful number, since it uses less digits than its factorization.

468785775024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 468785775024 in words is "four hundred sixty-eight billion, seven hundred eighty-five million, seven hundred seventy-five thousand, twenty-four".