536002907040 has 384 divisors, whose sum is σ = 1907964979200. Its totient is φ = 142272433152.

The previous prime is 536002907029. The next prime is 536002907053. The reversal of 536002907040 is 40709200635.

536002907040 is a `hidden beast` number, since 5 + 3 + 600 + 2 + 9 + 0 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 536002906986 and 536002907004.

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, 78028726 + ... + 78035594.

It is an arithmetic number, because the mean of its divisors is an integer number (4968658800).

Almost surely, 2^536002907040 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 536002907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953982489600).

536002907040 is an abundant number, since it is smaller than the sum of its proper divisors (1371962072160).

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

536002907040 is an equidigital number, since it uses as much as digits as its factorization.

536002907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 536002907040 in words is "five hundred thirty-six billion, two million, nine hundred seven thousand, forty".