474049451664 has 120 divisors (see below), whose sum is σ = 1380012324600. Its totient is φ = 151724482560.

The previous prime is 474049451647. The next prime is 474049451741. The reversal of 474049451664 is 466154940474.

474049451664 is a `hidden beast` number, since 4 + 7 + 40 + 494 + 51 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37117875600 + 436931576064 = 192660^2 + 661008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 474049451664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442272 + ... + 1069440.

It is an arithmetic number, because the mean of its divisors is an integer number (11500102705).

Almost surely, 2^474049451664 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 474049451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690006162300).

474049451664 is an abundant number, since it is smaller than the sum of its proper divisors (905962872936).

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

474049451664 is a wasteful number, since it uses less digits than its factorization.

474049451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627393 (or 627384 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 474049451664 in words is "four hundred seventy-four billion, forty-nine million, four hundred fifty-one thousand, six hundred sixty-four".