533546807040 has 864 divisors, whose sum is σ = 2105133750720. Its totient is φ = 123813494784.

The previous prime is 533546807033. The next prime is 533546807051. The reversal of 533546807040 is 40708645335.

533546807040 is a `hidden beast` number, since 5 + 33 + 546 + 8 + 0 + 70 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 186749292 + ... + 186752148.

Almost surely, 2^533546807040 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 533546807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052566875360).

533546807040 is an abundant number, since it is smaller than the sum of its proper divisors (1571586943680).

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

533546807040 is a wasteful number, since it uses less digits than its factorization.

533546807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 533546807040 in words is "five hundred thirty-three billion, five hundred forty-six million, eight hundred seven thousand, forty".