536718481326720 has 3072 divisors, whose sum is σ = 2638299357388800. Its totient is φ = 100400779100160.

The previous prime is 536718481326707. The next prime is 536718481326757. The reversal of 536718481326720 is 27623184817635.

It is a happy number.

536718481326720 is a `hidden beast` number, since 5 + 3 + 6 + 71 + 8 + 481 + 3 + 2 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5722691667 + ... + 5722785453.

It is an arithmetic number, because the mean of its divisors is an integer number (858821405400).

Almost surely, 2^{536718481326720} 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 536718481326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319149678694400).

536718481326720 is an abundant number, since it is smaller than the sum of its proper divisors (2101580876062080).

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

536718481326720 is a wasteful number, since it uses less digits than its factorization.

536718481326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93884 (or 93855 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 536718481326720 in words is "five hundred thirty-six trillion, seven hundred eighteen billion, four hundred eighty-one million, three hundred twenty-six thousand, seven hundred twenty".