1966797116928 has 840 divisors, whose sum is σ = 7077014809920. Its totient is φ = 543658106880.

The previous prime is 1966797116861. The next prime is 1966797116929. The reversal of 1966797116928 is 8296117976691.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966797116929) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 566961978 + ... + 566965446.

Almost surely, 2^{1966797116928} is an apocalyptic number.

1966797116928 is a gapful number since it is divisible by the number (18) 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 1966797116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538507404960).

1966797116928 is an abundant number, since it is smaller than the sum of its proper divisors (5110217692992).

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

1966797116928 is an frugal number, since it uses more digits than its factorization.

1966797116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3512 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 72.

The spelling of 1966797116928 in words is "one trillion, nine hundred sixty-six billion, seven hundred ninety-seven million, one hundred sixteen thousand, nine hundred twenty-eight".