36396168399360 has 2880 divisors, whose sum is σ = 166758786754560. Its totient is φ = 7167202099200.

The previous prime is 36396168399323. The next prime is 36396168399391. The reversal of 36396168399360 is 6399386169363.

36396168399360 is a `hidden beast` number, since 3 + 6 + 3 + 96 + 16 + 83 + 99 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 58798333131 + ... + 58798333749.

It is an arithmetic number, because the mean of its divisors is an integer number (57902356512).

Almost surely, 2^{36396168399360} is an apocalyptic number.

36396168399360 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 36396168399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83379393377280).

36396168399360 is an abundant number, since it is smaller than the sum of its proper divisors (130362618355200).

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

36396168399360 is a wasteful number, since it uses less digits than its factorization.

36396168399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 612220032, while the sum is 72.

The spelling of 36396168399360 in words is "thirty-six trillion, three hundred ninety-six billion, one hundred sixty-eight million, three hundred ninety-nine thousand, three hundred sixty".