826366464000 has 2496 divisors, whose sum is σ = 3961208489472. Its totient is φ = 160432128000.

The previous prime is 826366463971. The next prime is 826366464013. The reversal of 826366464000 is 464663628.

826366464000 is a `hidden beast` number, since 8 + 2 + 636 + 6 + 4 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6031871932 + ... + 6031872068.

It is an arithmetic number, because the mean of its divisors is an integer number (1587022632).

Almost surely, 2^826366464000 is an apocalyptic number.

826366464000 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 826366464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980604244736).

826366464000 is an abundant number, since it is smaller than the sum of its proper divisors (3134842025472).

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

826366464000 is a wasteful number, since it uses less digits than its factorization.

826366464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 826366464000 in words is "eight hundred twenty-six billion, three hundred sixty-six million, four hundred sixty-four thousand".