406586667648 has 256 divisors, whose sum is σ = 1246733107200. Its totient is φ = 114999865344.

The previous prime is 406586667637. The next prime is 406586667677. The reversal of 406586667648 is 846766685604.

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, 200386698 + ... + 200388726.

It is an arithmetic number, because the mean of its divisors is an integer number (4870051200).

Almost surely, 2^406586667648 is an apocalyptic number.

406586667648 is a gapful number since it is divisible by the number (48) 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 406586667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623366553600).

406586667648 is an abundant number, since it is smaller than the sum of its proper divisors (840146439552).

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

406586667648 is a wasteful number, since it uses less digits than its factorization.

406586667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 406586667648 in words is "four hundred six billion, five hundred eighty-six million, six hundred sixty-seven thousand, six hundred forty-eight".