1664045460 has 576 divisors, whose sum is σ = 6793113600. Its totient is φ = 319334400.

The previous prime is 1664045353. The next prime is 1664045483. The reversal of 1664045460 is 645404661.

1664045460 is a `hidden beast` number, since 1 + 6 + 640 + 4 + 5 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×1664045460² = 5538094585893223200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18697096 + ... + 18697184.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1664045460 is an apocalyptic number.

1664045460 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 1664045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

1664045460 is an abundant number, since it is smaller than the sum of its proper divisors (5129068140).

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

1664045460 is a wasteful number, since it uses less digits than its factorization.

1664045460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1664045460 is about 40792.7133199056. The cubic root of 1664045460 is about 1185.0092185364.

The spelling of 1664045460 in words is "one billion, six hundred sixty-four million, forty-five thousand, four hundred sixty".