533763527040 has 512 divisors, whose sum is σ = 1945020211200. Its totient is φ = 138262118400.

The previous prime is 533763526999. The next prime is 533763527053. The reversal of 533763527040 is 40725367335.

533763527040 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 635 + 2 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×533763527040² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141918760 + ... + 141922520.

It is an arithmetic number, because the mean of its divisors is an integer number (3798867600).

Almost surely, 2^533763527040 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 533763527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972510105600).

533763527040 is an abundant number, since it is smaller than the sum of its proper divisors (1411256684160).

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

533763527040 is a wasteful number, since it uses less digits than its factorization.

533763527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 533763527040 in words is "five hundred thirty-three billion, seven hundred sixty-three million, five hundred twenty-seven thousand, forty".