536632339714560 has 960 divisors, whose sum is σ = 1944089842286592. Its totient is φ = 141863142998016.

The previous prime is 536632339714547. The next prime is 536632339714613. The reversal of 536632339714560 is 65417933236635.

536632339714560 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 3 + 23 + 39 + 7 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39788852137 + ... + 39788865623.

Almost surely, 2^{536632339714560} 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 536632339714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972044921143296).

536632339714560 is an abundant number, since it is smaller than the sum of its proper divisors (1407457502572032).

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

536632339714560 is a wasteful number, since it uses less digits than its factorization.

536632339714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 63.

The spelling of 536632339714560 in words is "five hundred thirty-six trillion, six hundred thirty-two billion, three hundred thirty-nine million, seven hundred fourteen thousand, five hundred sixty".