536245773073920 has 1440 divisors, whose sum is σ = 2372449323239424. Its totient is φ = 109492051968000.

The previous prime is 536245773073883. The next prime is 536245773073937. The reversal of 536245773073920 is 29370377542635.

It is a happy number.

536245773073920 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 4 + 577 + 3 + 0 + 7 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×536245773073920² (a number of 30 digits) contains 22 as substring.

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

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, 844628595 + ... + 845263245.

Almost surely, 2^{536245773073920} 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 536245773073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186224661619712).

536245773073920 is an abundant number, since it is smaller than the sum of its proper divisors (1836203550165504).

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

536245773073920 is a wasteful number, since it uses less digits than its factorization.

536245773073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634744 (or 634712 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 63.

The spelling of 536245773073920 in words is "five hundred thirty-six trillion, two hundred forty-five billion, seven hundred seventy-three million, seventy-three thousand, nine hundred twenty".