82464262272 has 576 divisors, whose sum is σ = 291286981440. Its totient is φ = 23148840960.

The previous prime is 82464262253. The next prime is 82464262273. The reversal of 82464262272 is 27226246428.

82464262272 is a `hidden beast` number, since 82 + 46 + 4 + 262 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82464262273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92969413 + ... + 92970299.

It is an arithmetic number, because the mean of its divisors is an integer number (505706565).

Almost surely, 2^82464262272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82464262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145643490720).

82464262272 is an abundant number, since it is smaller than the sum of its proper divisors (208822719168).

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

82464262272 is an equidigital number, since it uses as much as digits as its factorization.

82464262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 960 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 82464262272 in words is "eighty-two billion, four hundred sixty-four million, two hundred sixty-two thousand, two hundred seventy-two".