360946390764960 has 1728 divisors, whose sum is σ = 1708866288380160. Its totient is φ = 66998911795200.

The previous prime is 360946390764919. The next prime is 360946390764977. The reversal of 360946390764960 is 69467093649063.

360946390764960 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 4 + 63 + 9 + 0 + 76 + 496 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1385093556 + ... + 1385354124.

It is an arithmetic number, because the mean of its divisors is an integer number (988927250220).

Almost surely, 2^{360946390764960} is an apocalyptic number.

360946390764960 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 360946390764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854433144190080).

360946390764960 is an abundant number, since it is smaller than the sum of its proper divisors (1347919897615200).

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

360946390764960 is a wasteful number, since it uses less digits than its factorization.

360946390764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260683 (or 260641 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 72.

The spelling of 360946390764960 in words is "three hundred sixty trillion, nine hundred forty-six billion, three hundred ninety million, seven hundred sixty-four thousand, nine hundred sixty".