84564627264 has 560 divisors, whose sum is σ = 286426127680. Its totient is φ = 24455208960.

The previous prime is 84564627247. The next prime is 84564627269. The reversal of 84564627264 is 46272646548.

It is a happy number.

84564627264 is a `hidden beast` number, since 8 + 4 + 5 + 6 + 4 + 627 + 2 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84564627264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84564627269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 270174372 + ... + 270174684.

It is an arithmetic number, because the mean of its divisors is an integer number (511475228).

Almost surely, 2^84564627264 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 84564627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143213063840).

84564627264 is an abundant number, since it is smaller than the sum of its proper divisors (201861500416).

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

84564627264 is a wasteful number, since it uses less digits than its factorization.

84564627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 84564627264 in words is "eighty-four billion, five hundred sixty-four million, six hundred twenty-seven thousand, two hundred sixty-four".