6640904016 has 240 divisors, whose sum is σ = 20371612800. Its totient is φ = 2070779904.

The previous prime is 6640904009. The next prime is 6640904033. The reversal of 6640904016 is 6104090466.

6640904016 is a `hidden beast` number, since 6 + 640 + 9 + 0 + 4 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×6640904016² = 88203212299449856512, 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 47 ways as a sum of consecutive naturals, for example, 15127125 + ... + 15127563.

It is an arithmetic number, because the mean of its divisors is an integer number (84881720).

Almost surely, 2^6640904016 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 6640904016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10185806400).

6640904016 is an abundant number, since it is smaller than the sum of its proper divisors (13730708784).

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

6640904016 is a wasteful number, since it uses less digits than its factorization.

6640904016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 560 counting only the distinct ones).

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

The square root of 6640904016 is about 81491.7420110774. The cubic root of 6640904016 is about 1879.6445698978.

The spelling of 6640904016 in words is "six billion, six hundred forty million, nine hundred four thousand, sixteen".