36734654271744 has 729 divisors, whose sum is σ = 126206146978821. Its totient is φ = 10263790817280.

The previous prime is 36734654271739. The next prime is 36734654271773. The reversal of 36734654271744 is 44717245643763.

It is a happy number.

The square root of 36734654271744 is 6060912.

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

36734654271744 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 46 + 542 + 7 + 1 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5434120454400 + 31300533817344 = 2331120^2 + 5594688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41602099527 + ... + 41602100409.

Almost surely, 2^{36734654271744} is an apocalyptic number.

36734654271744 is the 6060912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36734654271744

36734654271744 is an abundant number, since it is smaller than the sum of its proper divisors (89471492707077).

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

36734654271744 is an equidigital number, since it uses as much as digits as its factorization.

36734654271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 912 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 63.

The spelling of 36734654271744 in words is "thirty-six trillion, seven hundred thirty-four billion, six hundred fifty-four million, two hundred seventy-one thousand, seven hundred forty-four".