82424695360 has 168 divisors, whose sum is σ = 228910905144. Its totient is φ = 28186583040.

The previous prime is 82424695357. The next prime is 82424695387. The reversal of 82424695360 is 6359642428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39655146496 + 42769548864 = 199136^2 + 206808^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6218340 + ... + 6231580.

Almost surely, 2^82424695360 is an apocalyptic number.

82424695360 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 82424695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114455452572).

82424695360 is an abundant number, since it is smaller than the sum of its proper divisors (146486209784).

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

82424695360 is a wasteful number, since it uses less digits than its factorization.

82424695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 82424695360 in words is "eighty-two billion, four hundred twenty-four million, six hundred ninety-five thousand, three hundred sixty".