84310216704 has 312 divisors, whose sum is σ = 294710869440. Its totient is φ = 22670475264.

The previous prime is 84310216703. The next prime is 84310216729. The reversal of 84310216704 is 40761201348.

84310216704 is a `hidden beast` number, since 8 + 431 + 0 + 216 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84310216703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4377207 + ... + 4396425.

It is an arithmetic number, because the mean of its divisors is an integer number (944586120).

Almost surely, 2^84310216704 is an apocalyptic number.

84310216704 is a gapful number since it is divisible by the number (84) 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 84310216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147355434720).

84310216704 is an abundant number, since it is smaller than the sum of its proper divisors (210400652736).

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

84310216704 is a wasteful number, since it uses less digits than its factorization.

84310216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19273 (or 19248 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 84310216704 in words is "eighty-four billion, three hundred ten million, two hundred sixteen thousand, seven hundred four".