83394869760 has 320 divisors, whose sum is σ = 296884748160. Its totient is φ = 22189178880.

The previous prime is 83394869717. The next prime is 83394869807. The reversal of 83394869760 is 6796849338.

83394869760 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 486 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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, 39466464 + ... + 39468576.

It is an arithmetic number, because the mean of its divisors is an integer number (927764838).

Almost surely, 2^83394869760 is an apocalyptic number.

83394869760 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 83394869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148442374080).

83394869760 is an abundant number, since it is smaller than the sum of its proper divisors (213489878400).

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

83394869760 is a wasteful number, since it uses less digits than its factorization.

83394869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 83394869760 in words is "eighty-three billion, three hundred ninety-four million, eight hundred sixty-nine thousand, seven hundred sixty".