1599437664 has 336 divisors, whose sum is σ = 5394138624. Its totient is φ = 461894400.

The previous prime is 1599437659. The next prime is 1599437677. The reversal of 1599437664 is 4667349951.

1599437664 is a `hidden beast` number, since 1 + 599 + 43 + 7 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1599437664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5901849 + ... + 5902119.

It is an arithmetic number, because the mean of its divisors is an integer number (16053984).

Almost surely, 2^1599437664 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 1599437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697069312).

1599437664 is an abundant number, since it is smaller than the sum of its proper divisors (3794700960).

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

1599437664 is a wasteful number, since it uses less digits than its factorization.

1599437664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 1599437664 is about 39992.9701822708. The cubic root of 1599437664 is about 1169.4700558594.

The spelling of 1599437664 in words is "one billion, five hundred ninety-nine million, four hundred thirty-seven thousand, six hundred sixty-four".