81984336000 has 1024 divisors, whose sum is σ = 340216381440. Its totient is φ = 17031168000.

The previous prime is 81984335989. The next prime is 81984336023. The reversal of 81984336000 is 63348918.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 177071769 + ... + 177072231.

It is an arithmetic number, because the mean of its divisors is an integer number (332242560).

Almost surely, 2^81984336000 is an apocalyptic number.

81984336000 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 81984336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170108190720).

81984336000 is an abundant number, since it is smaller than the sum of its proper divisors (258232045440).

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

81984336000 is a wasteful number, since it uses less digits than its factorization.

81984336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 81984336000 in words is "eighty-one billion, nine hundred eighty-four million, three hundred thirty-six thousand".