5640200416656 has 320 divisors, whose sum is σ = 18380438576640. Its totient is φ = 1642875125760.

The previous prime is 5640200416619. The next prime is 5640200416667. The reversal of 5640200416656 is 6566140020465.

5640200416656 is a `hidden beast` number, since 564 + 0 + 20 + 0 + 4 + 1 + 6 + 65 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 12304216 + ... + 12754376.

It is an arithmetic number, because the mean of its divisors is an integer number (57438870552).

Almost surely, 2^{5640200416656} 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 5640200416656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190219288320).

5640200416656 is an abundant number, since it is smaller than the sum of its proper divisors (12740238159984).

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

5640200416656 is a wasteful number, since it uses less digits than its factorization.

5640200416656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450311 (or 450299 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5640200416656 in words is "five trillion, six hundred forty billion, two hundred million, four hundred sixteen thousand, six hundred fifty-six".