84329344000 has 352 divisors, whose sum is σ = 232172246592. Its totient is φ = 30310400000.

The previous prime is 84329343997. The next prime is 84329344003. The reversal of 84329344000 is 44392348.

It is an interprime number because it is at equal distance from previous prime (84329343997) and next prime (84329344003).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×84329344000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84329344003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142207704 + ... + 142208296.

It is an arithmetic number, because the mean of its divisors is an integer number (659580246).

Almost surely, 2^84329344000 is an apocalyptic number.

84329344000 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 84329344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116086123296).

84329344000 is an abundant number, since it is smaller than the sum of its proper divisors (147842902592).

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

84329344000 is a wasteful number, since it uses less digits than its factorization.

84329344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 84329344000 in words is "eighty-four billion, three hundred twenty-nine million, three hundred forty-four thousand".