37792985760000 has 1215 divisors, whose sum is σ = 140411360810721. Its totient is φ = 9773208576000.

The previous prime is 37792985759981. The next prime is 37792985760011. The reversal of 37792985760000 is 6758929773.

The square root of 37792985760000 is 6147600.

It is a perfect power (a square), and thus also a powerful number.

37792985760000 is a `hidden beast` number, since 37 + 7 + 9 + 29 + 8 + 576 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 21955896946944 + 15837088813056 = 4685712^2 + 3979584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37792985760000.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 346724639946 + ... + 346724640054.

Almost surely, 2^{37792985760000} is an apocalyptic number.

37792985760000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37792985760000 is the 6147600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37792985760000

37792985760000 is an abundant number, since it is smaller than the sum of its proper divisors (102618375050721).

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

37792985760000 is an frugal number, since it uses more digits than its factorization.

37792985760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 37792985760000 in words is "thirty-seven trillion, seven hundred ninety-two billion, nine hundred eighty-five million, seven hundred sixty thousand".