36968989344000 has 2304 divisors, whose sum is σ = 154940354150400. Its totient is φ = 7617576960000.

The previous prime is 36968989343989. The next prime is 36968989344047. The reversal of 36968989344000 is 44398986963.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50025695631 + ... + 50025696369.

It is an arithmetic number, because the mean of its divisors is an integer number (67248417600).

Almost surely, 2^{36968989344000} is an apocalyptic number.

36968989344000 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 36968989344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77470177075200).

36968989344000 is an abundant number, since it is smaller than the sum of its proper divisors (117971364806400).

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

36968989344000 is a wasteful number, since it uses less digits than its factorization.

36968989344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 69.

The spelling of 36968989344000 in words is "thirty-six trillion, nine hundred sixty-eight billion, nine hundred eighty-nine million, three hundred forty-four thousand".