84346216920 has 640 divisors, whose sum is σ = 336113141760. Its totient is φ = 18571576320.

The previous prime is 84346216901. The next prime is 84346216961. The reversal of 84346216920 is 2961264348.

84346216920 is a `hidden beast` number, since 8 + 4 + 3 + 462 + 169 + 20 = 666.

It is a super-2 number, since 2×84346216920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71418730 + ... + 71419910.

It is an arithmetic number, because the mean of its divisors is an integer number (525176784).

Almost surely, 2^84346216920 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 84346216920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168056570880).

84346216920 is an abundant number, since it is smaller than the sum of its proper divisors (251766924840).

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

84346216920 is a wasteful number, since it uses less digits than its factorization.

84346216920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 84346216920 in words is "eighty-four billion, three hundred forty-six million, two hundred sixteen thousand, nine hundred twenty".