83079896832 has 576 divisors, whose sum is σ = 265232056320. Its totient is φ = 25604812800.

The previous prime is 83079896803. The next prime is 83079896833. The reversal of 83079896832 is 23869897038.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 83079896832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83079896833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654172353 + ... + 654172479.

It is an arithmetic number, because the mean of its divisors is an integer number (460472320).

Almost surely, 2^83079896832 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 83079896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132616028160).

83079896832 is an abundant number, since it is smaller than the sum of its proper divisors (182152159488).

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

83079896832 is a wasteful number, since it uses less digits than its factorization.

83079896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 83079896832 in words is "eighty-three billion, seventy-nine million, eight hundred ninety-six thousand, eight hundred thirty-two".