4206656640 has 256 divisors, whose sum is σ = 13888091520. Its totient is φ = 1082425344.

The previous prime is 4206656633. The next prime is 4206656653. The reversal of 4206656640 is 466566024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6817612 + ... + 6818228.

Almost surely, 2^4206656640 is an apocalyptic number.

4206656640 is a gapful number since it is divisible by the number (40) 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 4206656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944045760).

4206656640 is an abundant number, since it is smaller than the sum of its proper divisors (9681434880).

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

4206656640 is a wasteful number, since it uses less digits than its factorization.

4206656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4206656640 is about 64858.7437436156. The cubic root of 4206656640 is about 1614.2805781398.

The spelling of 4206656640 in words is "four billion, two hundred six million, six hundred fifty-six thousand, six hundred forty".