82924199680 has 288 divisors, whose sum is σ = 234694107648. Its totient is φ = 27482112000.

The previous prime is 82924199641. The next prime is 82924199689. The reversal of 82924199680 is 8699142928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82924199689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38912215 + ... + 38914345.

It is an arithmetic number, because the mean of its divisors is an integer number (814910096).

Almost surely, 2^82924199680 is an apocalyptic number.

82924199680 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 82924199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117347053824).

82924199680 is an abundant number, since it is smaller than the sum of its proper divisors (151769907968).

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

82924199680 is a wasteful number, since it uses less digits than its factorization.

82924199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 82924199680 in words is "eighty-two billion, nine hundred twenty-four million, one hundred ninety-nine thousand, six hundred eighty".