966680491797000 has 384 divisors, whose sum is σ = 3516293331439200. Its totient is φ = 238640504832000.

The previous prime is 966680491796911. The next prime is 966680491797091. The reversal of 966680491797000 is 797194086669.

It can be written as a sum of positive squares in 16 ways, for example, as 114999500383524 + 851680991413476 = 10723782^2 + 29183574^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 966680491797000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42455305 + ... + 61121304.

Almost surely, 2^{966680491797000} is an apocalyptic number.

966680491797000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966680491797000 is an abundant number, since it is smaller than the sum of its proper divisors (2549612839642200).

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

966680491797000 is a wasteful number, since it uses less digits than its factorization.

966680491797000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103576714 (or 103576697 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 966680491797000 in words is "nine hundred sixty-six trillion, six hundred eighty billion, four hundred ninety-one million, seven hundred ninety-seven thousand".