37573381116960 has 576 divisors, whose sum is σ = 131996591266176. Its totient is φ = 8930651258880.

The previous prime is 37573381116923. The next prime is 37573381117079. The reversal of 37573381116960 is 6961118337573.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 37573381116894 and 37573381116903.

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, 2800424172 + ... + 2800437588.

It is an arithmetic number, because the mean of its divisors is an integer number (229160748726).

Almost surely, 2^{37573381116960} is an apocalyptic number.

37573381116960 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 37573381116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65998295633088).

37573381116960 is an abundant number, since it is smaller than the sum of its proper divisors (94423210149216).

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

37573381116960 is a wasteful number, since it uses less digits than its factorization.

37573381116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 37573381116960 in words is "thirty-seven trillion, five hundred seventy-three billion, three hundred eighty-one million, one hundred sixteen thousand, nine hundred sixty".