84613709873664 has 400 divisors, whose sum is σ = 268123243900248. Its totient is φ = 26474227826688.

The previous prime is 84613709873657. The next prime is 84613709873683. The reversal of 84613709873664 is 46637890731648.

84613709873664 is a `hidden beast` number, since 8 + 46 + 1 + 370 + 98 + 73 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76313502777600 + 8300207096064 = 8735760^2 + 2881008^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84613709873592 and 84613709873601.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 262813074 + ... + 263134830.

Almost surely, 2^{84613709873664} 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 84613709873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134061621950124).

84613709873664 is an abundant number, since it is smaller than the sum of its proper divisors (183509534026584).

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

84613709873664 is a wasteful number, since it uses less digits than its factorization.

84613709873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322177 (or 322152 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 84613709873664 in words is "eighty-four trillion, six hundred thirteen billion, seven hundred nine million, eight hundred seventy-three thousand, six hundred sixty-four".