84970347264 has 648 divisors, whose sum is σ = 287130654720. Its totient is φ = 23937638400.

The previous prime is 84970347251. The next prime is 84970347277. The reversal of 84970347264 is 46274307948.

84970347264 is a `hidden beast` number, since 8 + 49 + 70 + 3 + 472 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (84970347251) and next prime (84970347277).

It is a self number, because there is not a number n which added to its sum of digits gives 84970347264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1075573977 + ... + 1075574055.

Almost surely, 2^84970347264 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 84970347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143565327360).

84970347264 is an abundant number, since it is smaller than the sum of its proper divisors (202160307456).

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

84970347264 is a wasteful number, since it uses less digits than its factorization.

84970347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

It can be divided in two parts, 84970 and 347264, that added together give a palindrome (432234).

The spelling of 84970347264 in words is "eighty-four billion, nine hundred seventy million, three hundred forty-seven thousand, two hundred sixty-four".