82347408000 has 2048 divisors, whose sum is σ = 376388812800. Its totient is φ = 17418240000.

The previous prime is 82347407983. The next prime is 82347408019. The reversal of 82347408000 is 80474328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1915055979 + ... + 1915056021.

It is an arithmetic number, because the mean of its divisors is an integer number (183783600).

Almost surely, 2^82347408000 is an apocalyptic number.

82347408000 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 82347408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188194406400).

82347408000 is an abundant number, since it is smaller than the sum of its proper divisors (294041404800).

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

82347408000 is a wasteful number, since it uses less digits than its factorization.

82347408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82347408000 in words is "eighty-two billion, three hundred forty-seven million, four hundred eight thousand".