966682080000 has 1440 divisors, whose sum is σ = 4398302092800. Its totient is φ = 203876352000.

The previous prime is 966682079969. The next prime is 966682080017. The reversal of 966682080000 is 80286669.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393118771 + ... + 393121229.

Almost surely, 2^966682080000 is an apocalyptic number.

966682080000 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 966682080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199151046400).

966682080000 is an abundant number, since it is smaller than the sum of its proper divisors (3431620012800).

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

966682080000 is a wasteful number, since it uses less digits than its factorization.

966682080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 966682080000 in words is "nine hundred sixty-six billion, six hundred eighty-two million, eighty thousand".