37982168640 has 504 divisors, whose sum is σ = 143537345640. Its totient is φ = 9212755968.

The previous prime is 37982168629. The next prime is 37982168641. The reversal of 37982168640 is 4686128973.

37982168640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20929987584 + 17052181056 = 144672^2 + 130584^2 .

It is not an unprimeable number, because it can be changed into a prime (37982168641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35530026 + ... + 35531094.

Almost surely, 2^37982168640 is an apocalyptic number.

37982168640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37982168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71768672820).

37982168640 is an abundant number, since it is smaller than the sum of its proper divisors (105555177000).

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

37982168640 is a wasteful number, since it uses less digits than its factorization.

37982168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 37982168640 in words is "thirty-seven billion, nine hundred eighty-two million, one hundred sixty-eight thousand, six hundred forty".