5637317575680 has 2816 divisors, whose sum is σ = 25060467916800. Its totient is φ = 1188756062208.

The previous prime is 5637317575667. The next prime is 5637317575711. The reversal of 5637317575680 is 865757137365.

5637317575680 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 3 + 17 + 57 + 568 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 95547755491 + ... + 95547755549.

Almost surely, 2^{5637317575680} 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 5637317575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530233958400).

5637317575680 is an abundant number, since it is smaller than the sum of its proper divisors (19423150341120).

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

5637317575680 is an equidigital number, since it uses as much as digits as its factorization.

5637317575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 5637317575680 in words is "five trillion, six hundred thirty-seven billion, three hundred seventeen million, five hundred seventy-five thousand, six hundred eighty".