468799545024 has 280 divisors, whose sum is σ = 1410218525760. Its totient is φ = 153964302336.

The previous prime is 468799545007. The next prime is 468799545029. The reversal of 468799545024 is 420545997864.

468799545024 is a `hidden beast` number, since 4 + 6 + 8 + 79 + 9 + 54 + 502 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (468799545029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267426132 + ... + 267427884.

Almost surely, 2^468799545024 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 468799545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705109262880).

468799545024 is an abundant number, since it is smaller than the sum of its proper divisors (941418980736).

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

468799545024 is a wasteful number, since it uses less digits than its factorization.

468799545024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 468799545024 in words is "four hundred sixty-eight billion, seven hundred ninety-nine million, five hundred forty-five thousand, twenty-four".