37133068768 has 48 divisors (see below), whose sum is σ = 75900537216. Its totient is φ = 17863672320.

The previous prime is 37133068759. The next prime is 37133068783. The reversal of 37133068768 is 86786033173.

It is a happy number.

It is a super-2 number, since 2×37133068768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63430 + ... + 279802.

It is an arithmetic number, because the mean of its divisors is an integer number (1581261192).

Almost surely, 2^37133068768 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 37133068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37950268608).

37133068768 is an abundant number, since it is smaller than the sum of its proper divisors (38767468448).

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

37133068768 is a wasteful number, since it uses less digits than its factorization.

37133068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216587 (or 216579 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 37133068768 in words is "thirty-seven billion, one hundred thirty-three million, sixty-eight thousand, seven hundred sixty-eight".