960357364560 has 1280 divisors, whose sum is σ = 3913785216000. Its totient is φ = 216543559680.

The previous prime is 960357364517. The next prime is 960357364583. The reversal of 960357364560 is 65463753069.

960357364560 is a `hidden beast` number, since 9 + 6 + 0 + 3 + 5 + 73 + 6 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 960357364497 and 960357364506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4874910382 + ... + 4874910578.

It is an arithmetic number, because the mean of its divisors is an integer number (3057644700).

Almost surely, 2^960357364560 is an apocalyptic number.

960357364560 is a gapful number since it is divisible by the number (90) 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 960357364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956892608000).

960357364560 is an abundant number, since it is smaller than the sum of its proper divisors (2953427851440).

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

960357364560 is a wasteful number, since it uses less digits than its factorization.

960357364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 960357364560 in words is "nine hundred sixty billion, three hundred fifty-seven million, three hundred sixty-four thousand, five hundred sixty".