5637966768042 has 128 divisors (see below), whose sum is σ = 13226638583808. Its totient is φ = 1568898028800.

The previous prime is 5637966768041. The next prime is 5637966768073. The reversal of 5637966768042 is 2408676697365.

It is a super-4 number, since 4×5637966768042⁴ (a number of 52 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (5637966768041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 878047992 + ... + 878054412.

It is an arithmetic number, because the mean of its divisors is an integer number (103333113936).

Almost surely, 2^{5637966768042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5637966768042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613319291904).

5637966768042 is an abundant number, since it is smaller than the sum of its proper divisors (7588671815766).

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

5637966768042 is a wasteful number, since it uses less digits than its factorization.

5637966768042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9804.

The product of its (nonzero) digits is 548674560, while the sum is 69.

The spelling of 5637966768042 in words is "five trillion, six hundred thirty-seven billion, nine hundred sixty-six million, seven hundred sixty-eight thousand, forty-two".