84864651264 has 364 divisors, whose sum is σ = 257947007556. Its totient is φ = 27901034496.

The previous prime is 84864651227. The next prime is 84864651271. The reversal of 84864651264 is 46215646848.

84864651264 is a `hidden beast` number, since 8 + 4 + 8 + 64 + 6 + 512 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62780313600 + 22084337664 = 250560^2 + 148608^2 .

It is a super-3 number, since 3×84864651264³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8847360) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 84864651264.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 289640302 + ... + 289640594.

Almost surely, 2^84864651264 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 84864651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128973503778).

84864651264 is an abundant number, since it is smaller than the sum of its proper divisors (173082356292).

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

84864651264 is an frugal number, since it uses more digits than its factorization.

84864651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 395 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 84864651264 in words is "eighty-four billion, eight hundred sixty-four million, six hundred fifty-one thousand, two hundred sixty-four".