36245180160 has 1008 divisors, whose sum is σ = 154420439040. Its totient is φ = 7972577280.

The previous prime is 36245180143. The next prime is 36245180161. The reversal of 36245180160 is 6108154263.

It is a happy number.

36245180160 is a `hidden beast` number, since 3 + 624 + 5 + 18 + 0 + 16 + 0 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36245180161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 202486951 + ... + 202487129.

It is an arithmetic number, because the mean of its divisors is an integer number (153194880).

Almost surely, 2^36245180160 is an apocalyptic number.

36245180160 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 36245180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77210219520).

36245180160 is an abundant number, since it is smaller than the sum of its proper divisors (118175258880).

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

36245180160 is an equidigital number, since it uses as much as digits as its factorization.

36245180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 36245180160 in words is "thirty-six billion, two hundred forty-five million, one hundred eighty thousand, one hundred sixty".