966399460320 has 288 divisors, whose sum is σ = 3636883901952. Its totient is φ = 211286946816.

The previous prime is 966399460307. The next prime is 966399460333. The reversal of 966399460320 is 23064993669.

It is an interprime number because it is at equal distance from previous prime (966399460307) and next prime (966399460333).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505589 + ... + 2049291.

It is an arithmetic number, because the mean of its divisors is an integer number (12628069104).

Almost surely, 2^966399460320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966399460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818441950976).

966399460320 is an abundant number, since it is smaller than the sum of its proper divisors (2670484441632).

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

966399460320 is a wasteful number, since it uses less digits than its factorization.

966399460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543774 (or 543743 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 57.

The spelling of 966399460320 in words is "nine hundred sixty-six billion, three hundred ninety-nine million, four hundred sixty thousand, three hundred twenty".