536442156864 has 448 divisors, whose sum is σ = 1751592453120. Its totient is φ = 160247808000.

The previous prime is 536442156863. The next prime is 536442156893. The reversal of 536442156864 is 468651244635.

536442156864 is a `hidden beast` number, since 5 + 36 + 4 + 42 + 1 + 568 + 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 536442156864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536442156863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51079614 + ... + 51090114.

Almost surely, 2^536442156864 is an apocalyptic number.

536442156864 is a gapful number since it is divisible by the number (54) 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 536442156864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875796226560).

536442156864 is an abundant number, since it is smaller than the sum of its proper divisors (1215150296256).

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

536442156864 is a wasteful number, since it uses less digits than its factorization.

536442156864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623 (or 10607 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 536442156864 in words is "five hundred thirty-six billion, four hundred forty-two million, one hundred fifty-six thousand, eight hundred sixty-four".