536000319792 has 640 divisors, whose sum is σ = 1939504435200. Its totient is φ = 138184704000.

The previous prime is 536000319787. The next prime is 536000319871. The reversal of 536000319792 is 297913000635.

536000319792 is a `hidden beast` number, since 5 + 3 + 600 + 0 + 31 + 9 + 7 + 9 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225114442 + ... + 225116822.

It is an arithmetic number, because the mean of its divisors is an integer number (3030475680).

Almost surely, 2^536000319792 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 536000319792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969752217600).

536000319792 is an abundant number, since it is smaller than the sum of its proper divisors (1403504115408).

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

536000319792 is a wasteful number, since it uses less digits than its factorization.

536000319792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 536000319792 in words is "five hundred thirty-six billion, three hundred nineteen thousand, seven hundred ninety-two".