36163679760000 has 2880 divisors, whose sum is σ = 154228348474200. Its totient is φ = 8071741440000.

The previous prime is 36163679759899. The next prime is 36163679760011. The reversal of 36163679760000 is 6797636163.

It can be written as a sum of positive squares in 60 ways, for example, as 35560994596416 + 602685163584 = 5963304^2 + 776328^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 78446159770 + ... + 78446160230.

Almost surely, 2^{36163679760000} is an apocalyptic number.

36163679760000 is a gapful number since it is divisible by the number (30) 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 36163679760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77114174237100).

36163679760000 is an abundant number, since it is smaller than the sum of its proper divisors (118064668714200).

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

36163679760000 is a wasteful number, since it uses less digits than its factorization.

36163679760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 36163679760000 in words is "thirty-six trillion, one hundred sixty-three billion, six hundred seventy-nine million, seven hundred sixty thousand".