826228903680 has 864 divisors, whose sum is σ = 3068226749952. Its totient is φ = 204904857600.

The previous prime is 826228903667. The next prime is 826228903697. The reversal of 826228903680 is 86309822628.

826228903680 is a `hidden beast` number, since 8 + 2 + 622 + 8 + 9 + 0 + 3 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068859774 + ... + 1068860546.

It is an arithmetic number, because the mean of its divisors is an integer number (3551188368).

Almost surely, 2^826228903680 is an apocalyptic number.

826228903680 is a gapful number since it is divisible by the number (80) 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 826228903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534113374976).

826228903680 is an abundant number, since it is smaller than the sum of its proper divisors (2241997846272).

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

826228903680 is a wasteful number, since it uses less digits than its factorization.

826228903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 826228903680 in words is "eight hundred twenty-six billion, two hundred twenty-eight million, nine hundred three thousand, six hundred eighty".