536639974191360 has 648 divisors, whose sum is σ = 2076343328044440. Its totient is φ = 132095966773248.

The previous prime is 536639974191359. The next prime is 536639974191379. The reversal of 536639974191360 is 63191479936635.

536639974191360 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 3 + 9 + 9 + 74 + 191 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27183793860864 + 509456180330496 = 5213808^2 + 22571136^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106717336 + ... + 111632744.

Almost surely, 2^{536639974191360} 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 536639974191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038171664022220).

536639974191360 is an abundant number, since it is smaller than the sum of its proper divisors (1539703353853080).

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

536639974191360 is an frugal number, since it uses more digits than its factorization.

536639974191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915467 (or 4915432 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 72.

The spelling of 536639974191360 in words is "five hundred thirty-six trillion, six hundred thirty-nine billion, nine hundred seventy-four million, one hundred ninety-one thousand, three hundred sixty".