966462705280 has 128 divisors (see below), whose sum is σ = 2340756792000. Its totient is φ = 381530333184.

The previous prime is 966462705259. The next prime is 966462705289. The reversal of 966462705280 is 82507264669.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×966462705280² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (966462705289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31141611 + ... + 31172629.

Almost surely, 2^966462705280 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 966462705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170378396000).

966462705280 is an abundant number, since it is smaller than the sum of its proper divisors (1374294086720).

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

966462705280 is a wasteful number, since it uses less digits than its factorization.

966462705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31674 (or 31662 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 966462705280 in words is "nine hundred sixty-six billion, four hundred sixty-two million, seven hundred five thousand, two hundred eighty".