37536894013696 has 243 divisors, whose sum is σ = 95823417230373. Its totient is φ = 14621823068160.

The previous prime is 37536894013669. The next prime is 37536894013739. The reversal of 37536894013696 is 69631049863573.

The square root of 37536894013696 is 6126736.

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

It can be written as a sum of positive squares in only one way, i.e., 24345934905600 + 13190959108096 = 4934160^2 + 3631936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7548136266 + ... + 7548141238.

Almost surely, 2^{37536894013696} is an apocalyptic number.

37536894013696 is the 6126736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37536894013696

37536894013696 is an abundant number, since it is smaller than the sum of its proper divisors (58286523216677).

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

37536894013696 is an frugal number, since it uses more digits than its factorization.

37536894013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 70.

The spelling of 37536894013696 in words is "thirty-seven trillion, five hundred thirty-six billion, eight hundred ninety-four million, thirteen thousand, six hundred ninety-six".