1304795664 has 120 divisors (see below), whose sum is σ = 3880599840. Its totient is φ = 408098304.

The previous prime is 1304795651. The next prime is 1304795693. The reversal of 1304795664 is 4665974031.

1304795664 is a `hidden beast` number, since 13 + 0 + 4 + 79 + 566 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290524 + ... + 294980.

It is an arithmetic number, because the mean of its divisors is an integer number (32338332).

Almost surely, 2^1304795664 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 1304795664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940299920).

1304795664 is an abundant number, since it is smaller than the sum of its proper divisors (2575804176).

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

1304795664 is a wasteful number, since it uses less digits than its factorization.

1304795664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1304795664 is about 36121.9554287970. The cubic root of 1304795664 is about 1092.7332755603.

The spelling of 1304795664 in words is "one billion, three hundred four million, seven hundred ninety-five thousand, six hundred sixty-four".