84584878560 has 1008 divisors, whose sum is σ = 371382477984. Its totient is φ = 17817366528.

The previous prime is 84584878541. The next prime is 84584878619. The reversal of 84584878560 is 6587848548.

84584878560 is a `hidden beast` number, since 8 + 458 + 48 + 7 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137984814 + ... + 137985426.

It is an arithmetic number, because the mean of its divisors is an integer number (368434998).

Almost surely, 2^84584878560 is an apocalyptic number.

84584878560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84584878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185691238992).

84584878560 is an abundant number, since it is smaller than the sum of its proper divisors (286797599424).

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

84584878560 is a wasteful number, since it uses less digits than its factorization.

84584878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 84584878560 in words is "eighty-four billion, five hundred eighty-four million, eight hundred seventy-eight thousand, five hundred sixty".