36605370722688 has 384 divisors, whose sum is σ = 109288555084800. Its totient is φ = 11755005050880.

The previous prime is 36605370722623. The next prime is 36605370722743. The reversal of 36605370722688 is 88622707350663.

36605370722688 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 537 + 0 + 72 + 26 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626742895 + ... + 626801297.

It is an arithmetic number, because the mean of its divisors is an integer number (284605612200).

Almost surely, 2^{36605370722688} 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 36605370722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54644277542400).

36605370722688 is an abundant number, since it is smaller than the sum of its proper divisors (72683184362112).

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

36605370722688 is a wasteful number, since it uses less digits than its factorization.

36605370722688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58670 (or 58655 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 36605370722688 in words is "thirty-six trillion, six hundred five billion, three hundred seventy million, seven hundred twenty-two thousand, six hundred eighty-eight".