1966661760 has 512 divisors, whose sum is σ = 7600158720. Its totient is φ = 423198720.

The previous prime is 1966661737. The next prime is 1966661761. The reversal of 1966661760 is 671666691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1966661761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23694679 + ... + 23694761.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2^1966661760 is an apocalyptic number.

1966661760 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 1966661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800079360).

1966661760 is an abundant number, since it is smaller than the sum of its proper divisors (5633496960).

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

1966661760 is a wasteful number, since it uses less digits than its factorization.

1966661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1966661760 is about 44347.0603309847. The cubic root of 1966661760 is about 1252.8811959986.

The spelling of 1966661760 in words is "one billion, nine hundred sixty-six million, six hundred sixty-one thousand, seven hundred sixty".