360369672960 has 864 divisors, whose sum is σ = 1322844880896. Its totient is φ = 83452723200.

The previous prime is 360369672937. The next prime is 360369673007. The reversal of 360369672960 is 69276963063.

It is a self number, because there is not a number n which added to its sum of digits gives 360369672960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1829287582 + ... + 1829287778.

It is an arithmetic number, because the mean of its divisors is an integer number (1531070464).

Almost surely, 2^360369672960 is an apocalyptic number.

360369672960 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 360369672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661422440448).

360369672960 is an abundant number, since it is smaller than the sum of its proper divisors (962475207936).

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

360369672960 is a wasteful number, since it uses less digits than its factorization.

360369672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 57.

The spelling of 360369672960 in words is "three hundred sixty billion, three hundred sixty-nine million, six hundred seventy-two thousand, nine hundred sixty".