536879564800 has 288 divisors, whose sum is σ = 1405006948800. Its totient is φ = 202896506880.

The previous prime is 536879564791. The next prime is 536879564843. The reversal of 536879564800 is 8465978635.

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, 629401174 + ... + 629402026.

It is an arithmetic number, because the mean of its divisors is an integer number (4878496350).

Almost surely, 2^536879564800 is an apocalyptic number.

536879564800 is a gapful number since it is divisible by the number (50) 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 536879564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702503474400).

536879564800 is an abundant number, since it is smaller than the sum of its proper divisors (868127384000).

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

536879564800 is a wasteful number, since it uses less digits than its factorization.

536879564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 536879564800 in words is "five hundred thirty-six billion, eight hundred seventy-nine million, five hundred sixty-four thousand, eight hundred".