84967586064 has 105 divisors (see below), whose sum is σ = 246915619783. Its totient is φ = 28312034976.

The previous prime is 84967586021. The next prime is 84967586089. The reversal of 84967586064 is 46068576948.

The square root of 84967586064 is 291492.

It is a perfect power (a square), and thus also a powerful number.

84967586064 is a `hidden beast` number, since 8 + 49 + 6 + 7 + 586 + 0 + 6 + 4 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84967585992 and 84967586010.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 31479787 + ... + 31482485.

Almost surely, 2^84967586064 is an apocalyptic number.

84967586064 is the 291492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84967586064

84967586064 is an abundant number, since it is smaller than the sum of its proper divisors (161948033719).

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

84967586064 is an frugal number, since it uses more digits than its factorization.

84967586064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 84967586064 in words is "eighty-four billion, nine hundred sixty-seven million, five hundred eighty-six thousand, sixty-four".