1966657968 has 400 divisors, whose sum is σ = 6611362560. Its totient is φ = 558835200.

The previous prime is 1966657963. The next prime is 1966657993. The reversal of 1966657968 is 8697566691.

It is not an unprimeable number, because it can be changed into a prime (1966657963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27699373 + ... + 27699443.

Almost surely, 2^1966657968 is an apocalyptic number.

1966657968 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 1966657968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305681280).

1966657968 is an abundant number, since it is smaller than the sum of its proper divisors (4644704592).

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

1966657968 is a wasteful number, since it uses less digits than its factorization.

1966657968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 1966657968 is about 44347.0175772847. The cubic root of 1966657968 is about 1252.8803907545.

The spelling of 1966657968 in words is "one billion, nine hundred sixty-six million, six hundred fifty-seven thousand, nine hundred sixty-eight".