83434659840 has 1008 divisors, whose sum is σ = 349626326400. Its totient is φ = 18331729920.

The previous prime is 83434659827. The next prime is 83434659851. The reversal of 83434659840 is 4895643438.

83434659840 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 4 + 6 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×83434659840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559964086 + ... + 559964234.

Almost surely, 2^83434659840 is an apocalyptic number.

83434659840 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 83434659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174813163200).

83434659840 is an abundant number, since it is smaller than the sum of its proper divisors (266191666560).

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

83434659840 is a wasteful number, since it uses less digits than its factorization.

83434659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 83434659840 in words is "eighty-three billion, four hundred thirty-four million, six hundred fifty-nine thousand, eight hundred forty".