37572735816 has 448 divisors, whose sum is σ = 135986688000. Its totient is φ = 9440841600.

The previous prime is 37572735757. The next prime is 37572735821. The reversal of 37572735816 is 61853727573.

It is a happy number.

37572735816 is a `hidden beast` number, since 3 + 7 + 57 + 2 + 7 + 3 + 581 + 6 = 666.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 13919635 + ... + 13922333.

Almost surely, 2^37572735816 is an apocalyptic number.

37572735816 is a gapful number since it is divisible by the number (36) 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 37572735816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67993344000).

37572735816 is an abundant number, since it is smaller than the sum of its proper divisors (98413952184).

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

37572735816 is a wasteful number, since it uses less digits than its factorization.

37572735816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2753 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 37572735816 in words is "thirty-seven billion, five hundred seventy-two million, seven hundred thirty-five thousand, eight hundred sixteen".