37245116160 has 864 divisors, whose sum is σ = 155748483072. Its totient is φ = 8037826560.

The previous prime is 37245116159. The next prime is 37245116177. The reversal of 37245116160 is 6161154273.

37245116160 is a `hidden beast` number, since 3 + 7 + 24 + 5 + 11 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117492322 + ... + 117492638.

It is an arithmetic number, because the mean of its divisors is an integer number (180264448).

Almost surely, 2^37245116160 is an apocalyptic number.

37245116160 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 37245116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77874241536).

37245116160 is an abundant number, since it is smaller than the sum of its proper divisors (118503366912).

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

37245116160 is a wasteful number, since it uses less digits than its factorization.

37245116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 37245116160 in words is "thirty-seven billion, two hundred forty-five million, one hundred sixteen thousand, one hundred sixty".