646582040208 has 720 divisors, whose sum is σ = 2094065685504. Its totient is φ = 185872527360.

The previous prime is 646582040179. The next prime is 646582040227. The reversal of 646582040208 is 802040285646.

646582040208 is a `hidden beast` number, since 6 + 4 + 6 + 582 + 0 + 40 + 20 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4118356866 + ... + 4118357022.

Almost surely, 2^646582040208 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 646582040208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047032842752).

646582040208 is an abundant number, since it is smaller than the sum of its proper divisors (1447483645296).

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

646582040208 is a wasteful number, since it uses less digits than its factorization.

646582040208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 646582040208 in words is "six hundred forty-six billion, five hundred eighty-two million, forty thousand, two hundred eight".