83984807424 has 320 divisors, whose sum is σ = 261937234944. Its totient is φ = 23415914496.

The previous prime is 83984807411. The next prime is 83984807471. The reversal of 83984807424 is 42470848938.

It is a happy number.

It is a congruent number.

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, 166967557 + ... + 166968059.

Almost surely, 2^83984807424 is an apocalyptic number.

83984807424 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 83984807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130968617472).

83984807424 is an abundant number, since it is smaller than the sum of its proper divisors (177952427520).

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

83984807424 is a wasteful number, since it uses less digits than its factorization.

83984807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 83984807424 in words is "eighty-three billion, nine hundred eighty-four million, eight hundred seven thousand, four hundred twenty-four".