84689579520 has 960 divisors, whose sum is σ = 372920131584. Its totient is φ = 17278894080.

The previous prime is 84689579497. The next prime is 84689579521. The reversal of 84689579520 is 2597598648.

84689579520 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 9 + 579 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84689579521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995189 + ... + 64996491.

Almost surely, 2^84689579520 is an apocalyptic number.

84689579520 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 84689579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186460065792).

84689579520 is an abundant number, since it is smaller than the sum of its proper divisors (288230552064).

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

84689579520 is a wasteful number, since it uses less digits than its factorization.

84689579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 84689579520 in words is "eighty-four billion, six hundred eighty-nine million, five hundred seventy-nine thousand, five hundred twenty".