37274352768 has 128 divisors (see below), whose sum is σ = 110112672000. Its totient is φ = 12413316096.

The previous prime is 37274352767. The next prime is 37274352781. The reversal of 37274352768 is 86725347273.

37274352768 is a `hidden beast` number, since 3 + 72 + 7 + 43 + 527 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (37274352763) 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 15 ways as a sum of consecutive naturals, for example, 4270713 + ... + 4279431.

It is an arithmetic number, because the mean of its divisors is an integer number (860255250).

Almost surely, 2^37274352768 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 37274352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056336000).

37274352768 is an abundant number, since it is smaller than the sum of its proper divisors (72838319232).

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

37274352768 is a wasteful number, since it uses less digits than its factorization.

37274352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9961 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 37274352768 in words is "thirty-seven billion, two hundred seventy-four million, three hundred fifty-two thousand, seven hundred sixty-eight".