36960616078848 has 3840 divisors, whose sum is σ = 152206322171904. Its totient is φ = 8672611368960.

The previous prime is 36960616078831. The next prime is 36960616078861. The reversal of 36960616078848 is 84887061606963.

36960616078848 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 0 + 6 + 1 + 607 + 8 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 445308627415 + ... + 445308627497.

Almost surely, 2^{36960616078848} 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 36960616078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76103161085952).

36960616078848 is an abundant number, since it is smaller than the sum of its proper divisors (115245706093056).

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

36960616078848 is a wasteful number, since it uses less digits than its factorization.

36960616078848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 36960616078848 in words is "thirty-six trillion, nine hundred sixty billion, six hundred sixteen million, seventy-eight thousand, eight hundred forty-eight".