83991684000 has 576 divisors, whose sum is σ = 324124924032. Its totient is φ = 18955776000.

The previous prime is 83991683939. The next prime is 83991684001. The reversal of 83991684000 is 48619938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83991684001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48803140 + ... + 48804860.

It is an arithmetic number, because the mean of its divisors is an integer number (562716882).

Almost surely, 2^83991684000 is an apocalyptic number.

83991684000 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 83991684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162062462016).

83991684000 is an abundant number, since it is smaller than the sum of its proper divisors (240133240032).

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

83991684000 is a wasteful number, since it uses less digits than its factorization.

83991684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 83991684000 in words is "eighty-three billion, nine hundred ninety-one million, six hundred eighty-four thousand".