37820162688 has 480 divisors, whose sum is σ = 130496882400. Its totient is φ = 9506534400.

The previous prime is 37820162659. The next prime is 37820162707. The reversal of 37820162688 is 88626102873.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 37820162688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1220005233 + ... + 1220005263.

It is an arithmetic number, because the mean of its divisors is an integer number (271868505).

Almost surely, 2^37820162688 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 37820162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65248441200).

37820162688 is an abundant number, since it is smaller than the sum of its proper divisors (92676719712).

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

37820162688 is an frugal number, since it uses more digits than its factorization.

37820162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 37820162688 in words is "thirty-seven billion, eight hundred twenty million, one hundred sixty-two thousand, six hundred eighty-eight".