1006807806456 has 64 divisors (see below), whose sum is σ = 2599605964800. Its totient is φ = 324602678400.

The previous prime is 1006807806449. The next prime is 1006807806463. The reversal of 1006807806456 is 6546087086001.

It is an interprime number because it is at equal distance from previous prime (1006807806449) and next prime (1006807806463).

It is a junction number, because it is equal to n+sod(n) for n = 1006807806399 and 1006807806408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030390 + ... + 1753658.

It is an arithmetic number, because the mean of its divisors is an integer number (40618843200).

Almost surely, 2^{1006807806456} 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 1006807806456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299802982400).

1006807806456 is an abundant number, since it is smaller than the sum of its proper divisors (1592798158344).

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

1006807806456 is a wasteful number, since it uses less digits than its factorization.

1006807806456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725180 (or 725176 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1006807806456 in words is "one trillion, six billion, eight hundred seven million, eight hundred six thousand, four hundred fifty-six".