536076318960 has 800 divisors, whose sum is σ = 2338427414400. Its totient is φ = 113100115968.

The previous prime is 536076318937. The next prime is 536076318983. The reversal of 536076318960 is 69813670635.

536076318960 is a `hidden beast` number, since 536 + 0 + 7 + 6 + 3 + 18 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536076318937) and next prime (536076318983).

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

It is a junction number, because it is equal to n+sod(n) for n = 536076318897 and 536076318906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28885044 + ... + 28903596.

It is an arithmetic number, because the mean of its divisors is an integer number (2923034268).

Almost surely, 2^536076318960 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 536076318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169213707200).

536076318960 is an abundant number, since it is smaller than the sum of its proper divisors (1802351095440).

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

536076318960 is a wasteful number, since it uses less digits than its factorization.

536076318960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18612 (or 18583 counting only the distinct ones).

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

The spelling of 536076318960 in words is "five hundred thirty-six billion, seventy-six million, three hundred eighteen thousand, nine hundred sixty".