1966207680 has 168 divisors, whose sum is σ = 6920648592. Its totient is φ = 512096256.

The previous prime is 1966207679. The next prime is 1966207699. The reversal of 1966207680 is 867026691.

1966207680 is a `hidden beast` number, since 19 + 6 + 620 + 7 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115902 + ... + 131778.

Almost surely, 2^1966207680 is an apocalyptic number.

1966207680 is a gapful number since it is divisible by the number (10) 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 1966207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460324296).

1966207680 is an abundant number, since it is smaller than the sum of its proper divisors (4954440912).

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

1966207680 is a wasteful number, since it uses less digits than its factorization.

1966207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1966207680 is about 44341.9404176227. The cubic root of 1966207680 is about 1252.7847632014.

The spelling of 1966207680 in words is "one billion, nine hundred sixty-six million, two hundred seven thousand, six hundred eighty".