36166798080 has 1008 divisors, whose sum is σ = 152811892800. Its totient is φ = 8193540096.

The previous prime is 36166798021. The next prime is 36166798093. The reversal of 36166798080 is 8089766163.

It is a happy number.

36166798080 is a `hidden beast` number, since 361 + 66 + 79 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060104 + ... + 320060216.

It is an arithmetic number, because the mean of its divisors is an integer number (151599100).

Almost surely, 2^36166798080 is an apocalyptic number.

36166798080 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 36166798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76405946400).

36166798080 is an abundant number, since it is smaller than the sum of its proper divisors (116645094720).

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

36166798080 is an frugal number, since it uses more digits than its factorization.

36166798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 36166798080 in words is "thirty-six billion, one hundred sixty-six million, seven hundred ninety-eight thousand, eighty".