966970676672 has 448 divisors, whose sum is σ = 2616611536896. Its totient is φ = 342372925440.

The previous prime is 966970676641. The next prime is 966970676699. The reversal of 966970676672 is 276676079669.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 966970676596 and 966970676605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1277371718 + ... + 1277372474.

It is an arithmetic number, because the mean of its divisors is an integer number (5840650752).

Almost surely, 2^966970676672 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 966970676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308305768448).

966970676672 is an abundant number, since it is smaller than the sum of its proper divisors (1649640860224).

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

966970676672 is a wasteful number, since it uses less digits than its factorization.

966970676672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 71.

The spelling of 966970676672 in words is "nine hundred sixty-six billion, nine hundred seventy million, six hundred seventy-six thousand, six hundred seventy-two".