84296573978688 has 672 divisors, whose sum is σ = 274336444569600. Its totient is φ = 25309239284736.

The previous prime is 84296573978681. The next prime is 84296573978731. The reversal of 84296573978688 is 88687937569248.

84296573978688 is a `hidden beast` number, since 8 + 4 + 2 + 9 + 65 + 7 + 397 + 86 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84296573978598 and 84296573978607.

It is not an unprimeable number, because it can be changed into a prime (84296573978681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2900462845 + ... + 2900491907.

It is an arithmetic number, because the mean of its divisors is an integer number (408238756800).

Almost surely, 2^{84296573978688} 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 84296573978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168222284800).

84296573978688 is an abundant number, since it is smaller than the sum of its proper divisors (190039870590912).

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

84296573978688 is a wasteful number, since it uses less digits than its factorization.

84296573978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29316 (or 29277 counting only the distinct ones).

The product of its digits is 70230343680, while the sum is 90.

The spelling of 84296573978688 in words is "eighty-four trillion, two hundred ninety-six billion, five hundred seventy-three million, nine hundred seventy-eight thousand, six hundred eighty-eight".