36960831600000 has 768 divisors, whose sum is σ = 152994032755200. Its totient is φ = 7680153600000.

The previous prime is 36960831599999. The next prime is 36960831600031. The reversal of 36960831600000 is 613806963.

36960831600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36960831600000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92199996 + ... + 92600004.

It is an arithmetic number, because the mean of its divisors is an integer number (199210980150).

Almost surely, 2^{36960831600000} is an apocalyptic number.

36960831600000 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 36960831600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76497016377600).

36960831600000 is an abundant number, since it is smaller than the sum of its proper divisors (116033201155200).

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

36960831600000 is an equidigital number, since it uses as much as digits as its factorization.

36960831600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400069 (or 400037 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

It can be divided in two parts, 36960 and 831600000, that multiplied together give a square (30735936000000 = 5544000²).

The spelling of 36960831600000 in words is "thirty-six trillion, nine hundred sixty billion, eight hundred thirty-one million, six hundred thousand".