474030576768 has 256 divisors, whose sum is σ = 1487149424640. Its totient is φ = 130917703680.

The previous prime is 474030576749. The next prime is 474030576781. The reversal of 474030576768 is 867675030474.

It is a super-2 number, since 2×474030576768² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86075071 + ... + 86080577.

It is an arithmetic number, because the mean of its divisors is an integer number (5809177440).

Almost surely, 2^474030576768 is an apocalyptic number.

474030576768 is a gapful number since it is divisible by the number (48) 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 474030576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743574712320).

474030576768 is an abundant number, since it is smaller than the sum of its proper divisors (1013118847872).

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

474030576768 is a wasteful number, since it uses less digits than its factorization.

474030576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 474030576768 in words is "four hundred seventy-four billion, thirty million, five hundred seventy-six thousand, seven hundred sixty-eight".