84824484864 has 264 divisors, whose sum is σ = 265602475008. Its totient is φ = 23995883520.

The previous prime is 84824484859. The next prime is 84824484893. The reversal of 84824484864 is 46848442848.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 84824484798 and 84824484807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15501649 + ... + 15507119.

Almost surely, 2^84824484864 is an apocalyptic number.

84824484864 is a gapful number since it is divisible by the number (84) 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 84824484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132801237504).

84824484864 is an abundant number, since it is smaller than the sum of its proper divisors (180777990144).

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

84824484864 is a wasteful number, since it uses less digits than its factorization.

84824484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5586 counting only the distinct ones).

The product of its digits is 50331648, while the sum is 60.

The spelling of 84824484864 in words is "eighty-four billion, eight hundred twenty-four million, four hundred eighty-four thousand, eight hundred sixty-four".