36162447360 has 768 divisors, whose sum is σ = 135258439680. Its totient is φ = 8174960640.

The previous prime is 36162447323. The next prime is 36162447389. The reversal of 36162447360 is 6374426163.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284743617 + ... + 284743743.

It is an arithmetic number, because the mean of its divisors is an integer number (176117760).

Almost surely, 2^36162447360 is an apocalyptic number.

36162447360 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 36162447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67629219840).

36162447360 is an abundant number, since it is smaller than the sum of its proper divisors (99095992320).

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

36162447360 is a wasteful number, since it uses less digits than its factorization.

36162447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 36162447360 in words is "thirty-six billion, one hundred sixty-two million, four hundred forty-seven thousand, three hundred sixty".