468052643520 has 336 divisors, whose sum is σ = 2007156572928. Its totient is φ = 97257646080.

The previous prime is 468052643473. The next prime is 468052643537. The reversal of 468052643520 is 25346250864.

468052643520 is a `hidden beast` number, since 4 + 6 + 80 + 5 + 2 + 6 + 43 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 833554 + ... + 1277073.

Almost surely, 2^468052643520 is an apocalyptic number.

468052643520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468052643520 is an abundant number, since it is smaller than the sum of its proper divisors (1539103929408).

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

468052643520 is a wasteful number, since it uses less digits than its factorization.

468052643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110668 (or 2110655 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 468052643520 in words is "four hundred sixty-eight billion, fifty-two million, six hundred forty-three thousand, five hundred twenty".