84559707648 has 640 divisors, whose sum is σ = 282044864640. Its totient is φ = 25153929216.

The previous prime is 84559707643. The next prime is 84559707653. The reversal of 84559707648 is 84670795548.

84559707648 is a `hidden beast` number, since 8 + 4 + 559 + 7 + 0 + 76 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (84559707643) and next prime (84559707653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84559707643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538596786 + ... + 538596942.

It is an arithmetic number, because the mean of its divisors is an integer number (440695101).

Almost surely, 2^84559707648 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 84559707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141022432320).

84559707648 is an abundant number, since it is smaller than the sum of its proper divisors (197485156992).

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

84559707648 is an equidigital number, since it uses as much as digits as its factorization.

84559707648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 84559707648 in words is "eighty-four billion, five hundred fifty-nine million, seven hundred seven thousand, six hundred forty-eight".