36659201660928 has 1728 divisors, whose sum is σ = 143369543116800. Its totient is φ = 9212158771200.

The previous prime is 36659201660831. The next prime is 36659201660951. The reversal of 36659201660928 is 82906610295663.

36659201660928 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 9 + 2 + 0 + 16 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 10163347701 + ... + 10163351307.

It is an arithmetic number, because the mean of its divisors is an integer number (82968485600).

Almost surely, 2^{36659201660928} 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 36659201660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71684771558400).

36659201660928 is an abundant number, since it is smaller than the sum of its proper divisors (106710341455872).

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

36659201660928 is a wasteful number, since it uses less digits than its factorization.

36659201660928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 36659201660928 in words is "thirty-six trillion, six hundred fifty-nine billion, two hundred one million, six hundred sixty thousand, nine hundred twenty-eight".