84430968808032 has 768 divisors, whose sum is σ = 313358627635200. Its totient is φ = 21481863137280.

The previous prime is 84430968808019. The next prime is 84430968808103. The reversal of 84430968808032 is 23080886903448.

84430968808032 is a `hidden beast` number, since 8 + 4 + 430 + 96 + 8 + 8 + 0 + 80 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 667412178 + ... + 667538670.

It is an arithmetic number, because the mean of its divisors is an integer number (408019046400).

Almost surely, 2^{84430968808032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84430968808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156679313817600).

84430968808032 is an abundant number, since it is smaller than the sum of its proper divisors (228927658827168).

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

84430968808032 is a wasteful number, since it uses less digits than its factorization.

84430968808032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126736 (or 126722 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 84430968808032 in words is "eighty-four trillion, four hundred thirty billion, nine hundred sixty-eight million, eight hundred eight thousand, thirty-two".