960321686400 has 576 divisors, whose sum is σ = 3618919624320. Its totient is φ = 241986539520.

The previous prime is 960321686399. The next prime is 960321686413. The reversal of 960321686400 is 4686123069.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 54970467 + ... + 54987933.

It is an arithmetic number, because the mean of its divisors is an integer number (6282846570).

Almost surely, 2^960321686400 is an apocalyptic number.

960321686400 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 960321686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809459812160).

960321686400 is an abundant number, since it is smaller than the sum of its proper divisors (2658597937920).

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

960321686400 is a wasteful number, since it uses less digits than its factorization.

960321686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 960321686400 in words is "nine hundred sixty billion, three hundred twenty-one million, six hundred eighty-six thousand, four hundred".