82368426000 has 640 divisors, whose sum is σ = 321131446272. Its totient is φ = 17763840000.

The previous prime is 82368425989. The next prime is 82368426011. The reversal of 82368426000 is 62486328.

It is a Cunningham number, because it is equal to 286999²-1.

It is an interprime number because it is at equal distance from previous prime (82368425989) and next prime (82368426011).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82368426000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53381229 + ... + 53382771.

Almost surely, 2^82368426000 is an apocalyptic number.

82368426000 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 82368426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160565723136).

82368426000 is an abundant number, since it is smaller than the sum of its proper divisors (238763020272).

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

82368426000 is a wasteful number, since it uses less digits than its factorization.

82368426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 82368426000 in words is "eighty-two billion, three hundred sixty-eight million, four hundred twenty-six thousand".