360560620768320 has 4032 divisors, whose sum is σ = 1638788031129600. Its totient is φ = 72181186560000.

The previous prime is 360560620768259. The next prime is 360560620768343. The reversal of 360560620768320 is 23867026065063.

360560620768320 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 6 + 0 + 620 + 7 + 6 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×360560620768320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 243457541980 + ... + 243457543460.

Almost surely, 2^{360560620768320} is an apocalyptic number.

360560620768320 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 360560620768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819394015564800).

360560620768320 is an abundant number, since it is smaller than the sum of its proper divisors (1278227410361280).

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

360560620768320 is a wasteful number, since it uses less digits than its factorization.

360560620768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 360560620768320 in words is "three hundred sixty trillion, five hundred sixty billion, six hundred twenty million, seven hundred sixty-eight thousand, three hundred twenty".