36675062926656 has 672 divisors, whose sum is σ = 129222480135168. Its totient is φ = 8915784376320.

The previous prime is 36675062926591. The next prime is 36675062926709. The reversal of 36675062926656 is 65662926057663.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442931596 + ... + 443014388.

It is an arithmetic number, because the mean of its divisors is an integer number (192295357344).

Almost surely, 2^{36675062926656} 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 36675062926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64611240067584).

36675062926656 is an abundant number, since it is smaller than the sum of its proper divisors (92547417208512).

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

36675062926656 is a wasteful number, since it uses less digits than its factorization.

36675062926656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82947 (or 82918 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 69.

The spelling of 36675062926656 in words is "thirty-six trillion, six hundred seventy-five billion, sixty-two million, nine hundred twenty-six thousand, six hundred fifty-six".