37079346829168 has 90 divisors (see below), whose sum is σ = 84064356614952. Its totient is φ = 15520427072640.

The previous prime is 37079346829163. The next prime is 37079346829171. The reversal of 37079346829168 is 86192864397073.

It is a super-2 number, since 2×37079346829168² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37079346829168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37079346829163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2771037838 + ... + 2771051218.

Almost surely, 2^{37079346829168} 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 37079346829168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032178307476).

37079346829168 is an abundant number, since it is smaller than the sum of its proper divisors (46985009785784).

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

37079346829168 is an frugal number, since it uses more digits than its factorization.

37079346829168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26863 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 73.

The spelling of 37079346829168 in words is "thirty-seven trillion, seventy-nine billion, three hundred forty-six million, eight hundred twenty-nine thousand, one hundred sixty-eight".