84040830720 has 1728 divisors, whose sum is σ = 392126192640. Its totient is φ = 16860856320.

The previous prime is 84040830701. The next prime is 84040830737. The reversal of 84040830720 is 2703804048.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×84040830720² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2897959666 + ... + 2897959694.

It is an arithmetic number, because the mean of its divisors is an integer number (226924880).

Almost surely, 2^84040830720 is an apocalyptic number.

84040830720 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 84040830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196063096320).

84040830720 is an abundant number, since it is smaller than the sum of its proper divisors (308085361920).

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

84040830720 is an equidigital number, since it uses as much as digits as its factorization.

84040830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 84040830720 in words is "eighty-four billion, forty million, eight hundred thirty thousand, seven hundred twenty".