84217734720 has 1512 divisors, whose sum is σ = 376783348032. Its totient is φ = 17818859520.

The previous prime is 84217734719. The next prime is 84217734763. The reversal of 84217734720 is 2743771248.

84217734720 is a `hidden beast` number, since 8 + 4 + 2 + 177 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2716701105 + ... + 2716701135.

It is an arithmetic number, because the mean of its divisors is an integer number (249195336).

Almost surely, 2^84217734720 is an apocalyptic number.

84217734720 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 84217734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188391674016).

84217734720 is an abundant number, since it is smaller than the sum of its proper divisors (292565613312).

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

84217734720 is a wasteful number, since it uses less digits than its factorization.

84217734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 84217734720 in words is "eighty-four billion, two hundred seventeen million, seven hundred thirty-four thousand, seven hundred twenty".