360664254720 has 1944 divisors, whose sum is σ = 1670741497152. Its totient is φ = 72917729280.

The previous prime is 360664254697. The next prime is 360664254751. The reversal of 360664254720 is 27452466063.

360664254720 is a `hidden beast` number, since 3 + 6 + 0 + 66 + 42 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 9747682542 + ... + 9747682578.

Almost surely, 2^360664254720 is an apocalyptic number.

360664254720 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 360664254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835370748576).

360664254720 is an abundant number, since it is smaller than the sum of its proper divisors (1310077242432).

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

360664254720 is an equidigital number, since it uses as much as digits as its factorization.

360664254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 360664254720 in words is "three hundred sixty billion, six hundred sixty-four million, two hundred fifty-four thousand, seven hundred twenty".