36005688411264 has 768 divisors, whose sum is σ = 126354366028800. Its totient is φ = 10061765775360.

The previous prime is 36005688411221. The next prime is 36005688411347. The reversal of 36005688411264 is 46211488650063.

36005688411264 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 568 + 8 + 4 + 1 + 12 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36005688411264.

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 95 ways as a sum of consecutive naturals, for example, 5439744147 + ... + 5439750765.

It is an arithmetic number, because the mean of its divisors is an integer number (164523914100).

Almost surely, 2^{36005688411264} 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 36005688411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63177183014400).

36005688411264 is an abundant number, since it is smaller than the sum of its proper divisors (90348677617536).

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

36005688411264 is a wasteful number, since it uses less digits than its factorization.

36005688411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 36005688411264 in words is "thirty-six trillion, five billion, six hundred eighty-eight million, four hundred eleven thousand, two hundred sixty-four".