8221693826000 has 320 divisors, whose sum is σ = 20715877408512. Its totient is φ = 3153427200000.

The previous prime is 8221693825999. The next prime is 8221693826009. The reversal of 8221693826000 is 6283961228.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221693826009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3467604815 + ... + 3467607185.

Almost surely, 2^{8221693826000} is an apocalyptic number.

8221693826000 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 8221693826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357938704256).

8221693826000 is an abundant number, since it is smaller than the sum of its proper divisors (12494183582512).

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

8221693826000 is a wasteful number, since it uses less digits than its factorization.

8221693826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 8221693826000 in words is "eight trillion, two hundred twenty-one billion, six hundred ninety-three million, eight hundred twenty-six thousand".