4096648362672 has 200 divisors, whose sum is σ = 12013312455936. Its totient is φ = 1347631634304.

The previous prime is 4096648362613. The next prime is 4096648362707. The reversal of 4096648362672 is 2762638466904.

4096648362672 is a `hidden beast` number, since 4 + 0 + 9 + 66 + 483 + 6 + 26 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36414573 + ... + 36526899.

Almost surely, 2^{4096648362672} 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 4096648362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006656227968).

4096648362672 is an abundant number, since it is smaller than the sum of its proper divisors (7916664093264).

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

4096648362672 is a wasteful number, since it uses less digits than its factorization.

4096648362672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112717 (or 112702 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 4096648362672 in words is "four trillion, ninety-six billion, six hundred forty-eight million, three hundred sixty-two thousand, six hundred seventy-two".