37993728960 has 504 divisors, whose sum is σ = 148318654848. Its totient is φ = 8910950400.

The previous prime is 37993728947. The next prime is 37993729009. The reversal of 37993728960 is 6982739973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10801122 + ... + 10804638.

Almost surely, 2^37993728960 is an apocalyptic number.

37993728960 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 37993728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74159327424).

37993728960 is an abundant number, since it is smaller than the sum of its proper divisors (110324925888).

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

37993728960 is a wasteful number, since it uses less digits than its factorization.

37993728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 37993728960 in words is "thirty-seven billion, nine hundred ninety-three million, seven hundred twenty-eight thousand, nine hundred sixty".