83394702720 has 768 divisors, whose sum is σ = 361571558400. Its totient is φ = 17269604352.

The previous prime is 83394702661. The next prime is 83394702737. The reversal of 83394702720 is 2720749338.

83394702720 is a `hidden beast` number, since 8 + 339 + 47 + 0 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17617474 + ... + 17622206.

It is an arithmetic number, because the mean of its divisors is an integer number (470796300).

Almost surely, 2^83394702720 is an apocalyptic number.

83394702720 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 83394702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180785779200).

83394702720 is an abundant number, since it is smaller than the sum of its proper divisors (278176855680).

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

83394702720 is a wasteful number, since it uses less digits than its factorization.

83394702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 83394702720 in words is "eighty-three billion, three hundred ninety-four million, seven hundred two thousand, seven hundred twenty".