1966040640 has 224 divisors, whose sum is σ = 6967484160. Its totient is φ = 521883648.

The previous prime is 1966040639. The next prime is 1966040707. The reversal of 1966040640 is 460406691.

1966040640 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 0 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1966040595 and 1966040604.

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, 2703957 + ... + 2704683.

It is an arithmetic number, because the mean of its divisors is an integer number (31104840).

Almost surely, 2^1966040640 is an apocalyptic number.

1966040640 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 1966040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483742080).

1966040640 is an abundant number, since it is smaller than the sum of its proper divisors (5001443520).

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

1966040640 is a wasteful number, since it uses less digits than its factorization.

1966040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1966040640 is about 44340.0568335224. The cubic root of 1966040640 is about 1252.7492852446.

The spelling of 1966040640 in words is "one billion, nine hundred sixty-six million, forty thousand, six hundred forty".