1966080000 has 210 divisors, whose sum is σ = 6551499724. Its totient is φ = 524288000.

The previous prime is 1966079993. The next prime is 1966080007. The reversal of 1966080000 is 806691.

It is an interprime number because it is at equal distance from previous prime (1966079993) and next prime (1966080007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1966080000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1600 × 960 × 1280.

It is not an unprimeable number, because it can be changed into a prime (1966080007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 393215998 + ... + 393216002.

Almost surely, 2^1966080000 is an apocalyptic number.

1966080000 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 1966080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275749862).

1966080000 is an abundant number, since it is smaller than the sum of its proper divisors (4585419724).

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

1966080000 is an frugal number, since it uses more digits than its factorization.

1966080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1966080000 is about 44340.5006737633. The cubic root of 1966080000 is about 1252.7576451740.

Adding to 1966080000 its reverse (806691), we get a palindrome (1966886691).

The spelling of 1966080000 in words is "one billion, nine hundred sixty-six million, eighty thousand".