84006007200 has 1080 divisors, whose sum is σ = 337908684960. Its totient is φ = 20248704000.

The previous prime is 84006007187. The next prime is 84006007213. The reversal of 84006007200 is 270060048.

It is an interprime number because it is at equal distance from previous prime (84006007187) and next prime (84006007213).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1183183165 + ... + 1183183235.

It is an arithmetic number, because the mean of its divisors is an integer number (312878412).

Almost surely, 2^84006007200 is an apocalyptic number.

84006007200 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 84006007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168954342480).

84006007200 is an abundant number, since it is smaller than the sum of its proper divisors (253902677760).

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

84006007200 is a wasteful number, since it uses less digits than its factorization.

84006007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 84006007200 its reverse (270060048), we get a palindrome (84276067248).

The spelling of 84006007200 in words is "eighty-four billion, six million, seven thousand, two hundred".