82347041280 has 320 divisors, whose sum is σ = 306548022528. Its totient is φ = 18466406400.

The previous prime is 82347041237. The next prime is 82347041351. The reversal of 82347041280 is 8214074328.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2834830 + ... + 2863730.

Almost surely, 2^82347041280 is an apocalyptic number.

82347041280 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 82347041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153274011264).

82347041280 is an abundant number, since it is smaller than the sum of its proper divisors (224200981248).

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

82347041280 is a wasteful number, since it uses less digits than its factorization.

82347041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28987 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 82347041280 in words is "eighty-two billion, three hundred forty-seven million, forty-one thousand, two hundred eighty".