533914827264 has 640 divisors, whose sum is σ = 2008031477760. Its totient is φ = 136260403200.

The previous prime is 533914827263. The next prime is 533914827269. The reversal of 533914827264 is 462728419335.

533914827264 is a `hidden beast` number, since 5 + 3 + 3 + 91 + 482 + 72 + 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 533914827264.

It is not an unprimeable number, because it can be changed into a prime (533914827263) 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, 38990659 + ... + 39004349.

It is an arithmetic number, because the mean of its divisors is an integer number (3137549184).

Almost surely, 2^533914827264 is an apocalyptic number.

533914827264 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 533914827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004015738880).

533914827264 is an abundant number, since it is smaller than the sum of its proper divisors (1474116650496).

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

533914827264 is a wasteful number, since it uses less digits than its factorization.

533914827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13747 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 533914827264 in words is "five hundred thirty-three billion, nine hundred fourteen million, eight hundred twenty-seven thousand, two hundred sixty-four".