83394432000 has 528 divisors, whose sum is σ = 327887542944. Its totient is φ = 20213760000.

The previous prime is 83394431993. The next prime is 83394432013. The reversal of 83394432000 is 23449338.

It is a happy number.

83394432000 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 443 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12668710 + ... + 12675290.

Almost surely, 2^83394432000 is an apocalyptic number.

83394432000 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 83394432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163943771472).

83394432000 is an abundant number, since it is smaller than the sum of its proper divisors (244493110944).

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

83394432000 is a wasteful number, since it uses less digits than its factorization.

83394432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 83394432000 in words is "eighty-three billion, three hundred ninety-four million, four hundred thirty-two thousand".