1966818672 has 560 divisors, whose sum is σ = 7513894080. Its totient is φ = 483729408.

The previous prime is 1966818643. The next prime is 1966818691. The reversal of 1966818672 is 2768186691.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18044154 + ... + 18044262.

It is an arithmetic number, because the mean of its divisors is an integer number (13417668).

Almost surely, 2^1966818672 is an apocalyptic number.

1966818672 is a gapful number since it is divisible by the number (12) 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 1966818672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756947040).

1966818672 is an abundant number, since it is smaller than the sum of its proper divisors (5547075408).

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

1966818672 is a wasteful number, since it uses less digits than its factorization.

1966818672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1966818672 is about 44348.8294321282. The cubic root of 1966818672 is about 1252.9145158895.

The spelling of 1966818672 in words is "one billion, nine hundred sixty-six million, eight hundred eighteen thousand, six hundred seventy-two".