37680007680 has 960 divisors, whose sum is σ = 164081998080. Its totient is φ = 8090025984.

The previous prime is 37680007637. The next prime is 37680007721. The reversal of 37680007680 is 8670008673.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74027266 + ... + 74027774.

It is an arithmetic number, because the mean of its divisors is an integer number (170918748).

Almost surely, 2^37680007680 is an apocalyptic number.

37680007680 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 37680007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82040999040).

37680007680 is an abundant number, since it is smaller than the sum of its proper divisors (126401990400).

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

37680007680 is an equidigital number, since it uses as much as digits as its factorization.

37680007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 37680007680 in words is "thirty-seven billion, six hundred eighty million, seven thousand, six hundred eighty".