37680216288 has 384 divisors, whose sum is σ = 123244498944. Its totient is φ = 9920102400.

The previous prime is 37680216283. The next prime is 37680216337. The reversal of 37680216288 is 88261208673.

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 37680216288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37680216283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15744820 + ... + 15747212.

It is an arithmetic number, because the mean of its divisors is an integer number (320949216).

Almost surely, 2^37680216288 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 37680216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61622249472).

37680216288 is an abundant number, since it is smaller than the sum of its proper divisors (85564282656).

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

37680216288 is a wasteful number, since it uses less digits than its factorization.

37680216288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

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

The spelling of 37680216288 in words is "thirty-seven billion, six hundred eighty million, two hundred sixteen thousand, two hundred eighty-eight".