80681832000 has 2016 divisors, whose sum is σ = 383655417600. Its totient is φ = 16765056000.

The previous prime is 80681831999. The next prime is 80681832013. The reversal of 80681832000 is 23818608.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7334711995 + ... + 7334712005.

Almost surely, 2^80681832000 is an apocalyptic number.

80681832000 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 80681832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191827708800).

80681832000 is an abundant number, since it is smaller than the sum of its proper divisors (302973585600).

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

80681832000 is an equidigital number, since it uses as much as digits as its factorization.

80681832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 80681832000 in words is "eighty billion, six hundred eighty-one million, eight hundred thirty-two thousand".