1966573440 has 192 divisors, whose sum is σ = 7313473440. Its totient is φ = 484061184.

The previous prime is 1966573387. The next prime is 1966573451. The reversal of 1966573440 is 443756691.

1966573440 is a `hidden beast` number, since 19 + 66 + 573 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1966573440² = 7734822189826867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61749 + ... + 88011.

Almost surely, 2^1966573440 is an apocalyptic number.

1966573440 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 1966573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656736720).

1966573440 is an abundant number, since it is smaller than the sum of its proper divisors (5346900000).

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

1966573440 is a wasteful number, since it uses less digits than its factorization.

1966573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26301 (or 26286 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1966573440 is about 44346.0645379046. The cubic root of 1966573440 is about 1252.8624406766.

The spelling of 1966573440 in words is "one billion, nine hundred sixty-six million, five hundred seventy-three thousand, four hundred forty".