84965682679296 has 320 divisors, whose sum is σ = 230512099614720. Its totient is φ = 27805960765440.

The previous prime is 84965682679277. The next prime is 84965682679321. The reversal of 84965682679296 is 69297628656948.

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, 39317760456 + ... + 39317762616.

It is an arithmetic number, because the mean of its divisors is an integer number (720350311296).

Almost surely, 2^{84965682679296} 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 84965682679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115256049807360).

84965682679296 is an abundant number, since it is smaller than the sum of its proper divisors (145546416935424).

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

84965682679296 is a wasteful number, since it uses less digits than its factorization.

84965682679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3921 counting only the distinct ones).

The product of its digits is 33861058560, while the sum is 87.

The spelling of 84965682679296 in words is "eighty-four trillion, nine hundred sixty-five billion, six hundred eighty-two million, six hundred seventy-nine thousand, two hundred ninety-six".