36992607759744 has 768 divisors, whose sum is σ = 129247804108800. Its totient is φ = 9152847175680.

The previous prime is 36992607759743. The next prime is 36992607759749. The reversal of 36992607759744 is 44795770629963.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 36992607759744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36992607759743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 888989499 + ... + 889031109.

It is an arithmetic number, because the mean of its divisors is an integer number (168291411600).

Almost surely, 2^{36992607759744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36992607759744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64623902054400).

36992607759744 is an abundant number, since it is smaller than the sum of its proper divisors (92255196349056).

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

36992607759744 is a wasteful number, since it uses less digits than its factorization.

36992607759744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41783 (or 41758 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 78.

The spelling of 36992607759744 in words is "thirty-six trillion, nine hundred ninety-two billion, six hundred seven million, seven hundred fifty-nine thousand, seven hundred forty-four".