1966745664 has 224 divisors, whose sum is σ = 6443472000. Its totient is φ = 584091648.

The previous prime is 1966745639. The next prime is 1966745681. The reversal of 1966745664 is 4665476691.

1966745664 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 74 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1966745664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649947 + ... + 652965.

It is an arithmetic number, because the mean of its divisors is an integer number (28765500).

Almost surely, 2^1966745664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221736000).

1966745664 is an abundant number, since it is smaller than the sum of its proper divisors (4476726336).

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

1966745664 is a wasteful number, since it uses less digits than its factorization.

1966745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3066 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 1966745664 is about 44348.0063137003. The cubic root of 1966745664 is about 1252.8990130344.

The spelling of 1966745664 in words is "one billion, nine hundred sixty-six million, seven hundred forty-five thousand, six hundred sixty-four".