536732245969920 has 3520 divisors, whose sum is σ = 2595897228266496. Its totient is φ = 102411447828480.

The previous prime is 536732245969889. The next prime is 536732245969921. The reversal of 536732245969920 is 29969542237635.

536732245969920 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 3 + 2 + 2 + 4 + 596 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (536732245969921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 81781536559 + ... + 81781543121.

Almost surely, 2^{536732245969920} 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 536732245969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297948614133248).

536732245969920 is an abundant number, since it is smaller than the sum of its proper divisors (2059164982296576).

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

536732245969920 is a wasteful number, since it uses less digits than its factorization.

536732245969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 72.

The spelling of 536732245969920 in words is "five hundred thirty-six trillion, seven hundred thirty-two billion, two hundred forty-five million, nine hundred sixty-nine thousand, nine hundred twenty".