83379735936 has 480 divisors, whose sum is σ = 295762947480. Its totient is φ = 23235932160.

The previous prime is 83379735919. The next prime is 83379735941. The reversal of 83379735936 is 63953797338.

83379735936 is a `hidden beast` number, since 8 + 3 + 37 + 9 + 7 + 3 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 59 ways as a sum of consecutive naturals, for example, 20827311 + ... + 20831313.

Almost surely, 2^83379735936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83379735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147881473740).

83379735936 is an abundant number, since it is smaller than the sum of its proper divisors (212383211544).

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

83379735936 is a wasteful number, since it uses less digits than its factorization.

83379735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4056 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 63.

The spelling of 83379735936 in words is "eighty-three billion, three hundred seventy-nine million, seven hundred thirty-five thousand, nine hundred thirty-six".