36721836007344 has 240 divisors, whose sum is σ = 111997574151840. Its totient is φ = 11517770280960.

The previous prime is 36721836007319. The next prime is 36721836007393. The reversal of 36721836007344 is 44370063812763.

36721836007344 is a `hidden beast` number, since 3 + 6 + 7 + 21 + 8 + 3 + 600 + 7 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545926674 + ... + 545993934.

It is an arithmetic number, because the mean of its divisors is an integer number (466656558966).

Almost surely, 2^{36721836007344} is an apocalyptic number.

36721836007344 is a gapful number since it is divisible by the number (34) 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 36721836007344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55998787075920).

36721836007344 is an abundant number, since it is smaller than the sum of its proper divisors (75275738144496).

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

36721836007344 is a wasteful number, since it uses less digits than its factorization.

36721836007344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71685 (or 71656 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 36721836007344 in words is "thirty-six trillion, seven hundred twenty-one billion, eight hundred thirty-six million, seven thousand, three hundred forty-four".