37673336736 has 384 divisors, whose sum is σ = 128314368000. Its totient is φ = 10531648512.

The previous prime is 37673336731. The next prime is 37673336759. The reversal of 37673336736 is 63763337673.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (37673336731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96846430 + ... + 96846818.

It is an arithmetic number, because the mean of its divisors is an integer number (334152000).

Almost surely, 2^37673336736 is an apocalyptic number.

37673336736 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 37673336736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64157184000).

37673336736 is an abundant number, since it is smaller than the sum of its proper divisors (90641031264).

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

37673336736 is a wasteful number, since it uses less digits than its factorization.

37673336736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 54.

The spelling of 37673336736 in words is "thirty-seven billion, six hundred seventy-three million, three hundred thirty-six thousand, seven hundred thirty-six".