36568084936320 has 2688 divisors, whose sum is σ = 166086491472000. Its totient is φ = 7642817150976.

The previous prime is 36568084936247. The next prime is 36568084936343. The reversal of 36568084936320 is 2363948086563.

36568084936320 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 80 + 8 + 493 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

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 335 ways as a sum of consecutive naturals, for example, 12596651989 + ... + 12596654891.

Almost surely, 2^{36568084936320} is an apocalyptic number.

36568084936320 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 36568084936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83043245736000).

36568084936320 is an abundant number, since it is smaller than the sum of its proper divisors (129518406535680).

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

36568084936320 is a wasteful number, since it uses less digits than its factorization.

36568084936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 36568084936320 in words is "thirty-six trillion, five hundred sixty-eight billion, eighty-four million, nine hundred thirty-six thousand, three hundred twenty".