36096960960 has 224 divisors, whose sum is σ = 127536122880. Its totient is φ = 9611191296.

The previous prime is 36096960947. The next prime is 36096961039. The reversal of 36096960960 is 6906969063.

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

It is a junction number, because it is equal to n+sod(n) for n = 36096960897 and 36096960906.

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 31 ways as a sum of consecutive naturals, for example, 6416709 + ... + 6422331.

Almost surely, 2^36096960960 is an apocalyptic number.

36096960960 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 36096960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63768061440).

36096960960 is an abundant number, since it is smaller than the sum of its proper divisors (91439161920).

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

36096960960 is a wasteful number, since it uses less digits than its factorization.

36096960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 36096960960 in words is "thirty-six billion, ninety-six million, nine hundred sixty thousand, nine hundred sixty".