536673644640 has 864 divisors, whose sum is σ = 2262622680864. Its totient is φ = 115099729920.

The previous prime is 536673644627. The next prime is 536673644687. The reversal of 536673644640 is 46446376635.

536673644640 is a `hidden beast` number, since 53 + 6 + 6 + 73 + 64 + 464 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 648939907 + ... + 648940733.

It is an arithmetic number, because the mean of its divisors is an integer number (2618776251).

Almost surely, 2^536673644640 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 536673644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131311340432).

536673644640 is an abundant number, since it is smaller than the sum of its proper divisors (1725949036224).

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

536673644640 is a wasteful number, since it uses less digits than its factorization.

536673644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 536673644640 in words is "five hundred thirty-six billion, six hundred seventy-three million, six hundred forty-four thousand, six hundred forty".