82494278496 has 576 divisors, whose sum is σ = 287555788800. Its totient is φ = 22934596608.

The previous prime is 82494278491. The next prime is 82494278533. The reversal of 82494278496 is 69487249428.

82494278496 is a `hidden beast` number, since 8 + 2 + 49 + 427 + 84 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82494278491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360236910 + ... + 360237138.

It is an arithmetic number, because the mean of its divisors is an integer number (499228800).

Almost surely, 2^82494278496 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 82494278496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143777894400).

82494278496 is an abundant number, since it is smaller than the sum of its proper divisors (205061510304).

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

82494278496 is a wasteful number, since it uses less digits than its factorization.

82494278496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 82494278496 in words is "eighty-two billion, four hundred ninety-four million, two hundred seventy-eight thousand, four hundred ninety-six".