36672544417344 has 224 divisors, whose sum is σ = 110461790638080. Its totient is φ = 10628827545600.

The previous prime is 36672544417337. The next prime is 36672544417361. The reversal of 36672544417344 is 44371444527663.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767039712 + ... + 767087520.

It is an arithmetic number, because the mean of its divisors is an integer number (493132993920).

Almost surely, 2^{36672544417344} 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 36672544417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55230895319040).

36672544417344 is an abundant number, since it is smaller than the sum of its proper divisors (73789246220736).

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

36672544417344 is a wasteful number, since it uses less digits than its factorization.

36672544417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63649 (or 63639 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 60.

The spelling of 36672544417344 in words is "thirty-six trillion, six hundred seventy-two billion, five hundred forty-four million, four hundred seventeen thousand, three hundred forty-four".