37147681872 has 120 divisors (see below), whose sum is σ = 118861142400. Its totient is φ = 10609378560.

The previous prime is 37147681867. The next prime is 37147681873. The reversal of 37147681872 is 27818674173.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37147681873) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3210754 + ... + 3222302.

It is an arithmetic number, because the mean of its divisors is an integer number (990509520).

Almost surely, 2^37147681872 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 37147681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59430571200).

37147681872 is an abundant number, since it is smaller than the sum of its proper divisors (81713460528).

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

37147681872 is a wasteful number, since it uses less digits than its factorization.

37147681872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14752 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 37147681872 in words is "thirty-seven billion, one hundred forty-seven million, six hundred eighty-one thousand, eight hundred seventy-two".