36988622820864 has 1920 divisors, whose sum is σ = 133015806443520. Its totient is φ = 9801061171200.

The previous prime is 36988622820841. The next prime is 36988622820883. The reversal of 36988622820864 is 46802822688963.

36988622820864 is a `hidden beast` number, since 3 + 69 + 8 + 86 + 228 + 208 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36988622820792 and 36988622820801.

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 191 ways as a sum of consecutive naturals, for example, 193657711009 + ... + 193657711199.

It is an arithmetic number, because the mean of its divisors is an integer number (69279065856).

Almost surely, 2^{36988622820864} 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 36988622820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66507903221760).

36988622820864 is an abundant number, since it is smaller than the sum of its proper divisors (96027183622656).

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

36988622820864 is a wasteful number, since it uses less digits than its factorization.

36988622820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 36988622820864 in words is "thirty-six trillion, nine hundred eighty-eight billion, six hundred twenty-two million, eight hundred twenty thousand, eight hundred sixty-four".