84086140320 has 1296 divisors, whose sum is σ = 375706651320. Its totient is φ = 16972333056.

The previous prime is 84086140301. The next prime is 84086140339. The reversal of 84086140320 is 2304168048.

84086140320 is a `hidden beast` number, since 8 + 4 + 0 + 8 + 614 + 0 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84086140301) and next prime (84086140339).

It can be written as a sum of positive squares in 12 ways, for example, as 5230760976 + 78855379344 = 72324^2 + 280812^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 771432426 + ... + 771432534.

Almost surely, 2^84086140320 is an apocalyptic number.

84086140320 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 84086140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187853325660).

84086140320 is an abundant number, since it is smaller than the sum of its proper divisors (291620511000).

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

84086140320 is a wasteful number, since it uses less digits than its factorization.

84086140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84086140320 in words is "eighty-four billion, eighty-six million, one hundred forty thousand, three hundred twenty".