966949326720 has 1536 divisors, whose sum is σ = 3961064540160. Its totient is φ = 215167795200.

The previous prime is 966949326697. The next prime is 966949326731. The reversal of 966949326720 is 27623949669.

966949326720 is a `hidden beast` number, since 9 + 6 + 69 + 493 + 2 + 67 + 20 = 666.

It is a super-2 number, since 2×966949326720² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5062561825 + ... + 5062562015.

It is an arithmetic number, because the mean of its divisors is an integer number (2578818060).

Almost surely, 2^966949326720 is an apocalyptic number.

966949326720 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 966949326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980532270080).

966949326720 is an abundant number, since it is smaller than the sum of its proper divisors (2994115213440).

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

966949326720 is a wasteful number, since it uses less digits than its factorization.

966949326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 966949326720 in words is "nine hundred sixty-six billion, nine hundred forty-nine million, three hundred twenty-six thousand, seven hundred twenty".