1966718880 has 720 divisors, whose sum is σ = 8551176480. Its totient is φ = 423263232.

The previous prime is 1966718879. The next prime is 1966718881. The reversal of 1966718880 is 888176691.

It is an interprime number because it is at equal distance from previous prime (1966718879) and next prime (1966718881).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966718881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065679 + ... + 12065841.

It is an arithmetic number, because the mean of its divisors is an integer number (11876634).

Almost surely, 2^1966718880 is an apocalyptic number.

1966718880 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 1966718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275588240).

1966718880 is an abundant number, since it is smaller than the sum of its proper divisors (6584457600).

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

1966718880 is a wasteful number, since it uses less digits than its factorization.

1966718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1966718880 is about 44347.7043374288. The cubic root of 1966718880 is about 1252.8933255002.

The spelling of 1966718880 in words is "one billion, nine hundred sixty-six million, seven hundred eighteen thousand, eight hundred eighty".