5936641137792 has 1024 divisors, whose sum is σ = 19827530956800. Its totient is φ = 1739656396800.

The previous prime is 5936641137731. The next prime is 5936641137799. The reversal of 5936641137792 is 2977311466395.

It is a happy number.

5936641137792 is a `hidden beast` number, since 5 + 9 + 3 + 66 + 411 + 3 + 77 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (5936641137799) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7990095373 + ... + 7990096115.

It is an arithmetic number, because the mean of its divisors is an integer number (19362823200).

Almost surely, 2^{5936641137792} 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 5936641137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913765478400).

5936641137792 is an abundant number, since it is smaller than the sum of its proper divisors (13890889819008).

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

5936641137792 is a wasteful number, since it uses less digits than its factorization.

5936641137792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 944 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 5936641137792 in words is "five trillion, nine hundred thirty-six billion, six hundred forty-one million, one hundred thirty-seven thousand, seven hundred ninety-two".