8232908705280 has 640 divisors, whose sum is σ = 33969707228160. Its totient is φ = 1850951761920.

The previous prime is 8232908705279. The next prime is 8232908705347. The reversal of 8232908705280 is 825078092328.

It is a happy number.

8232908705280 is a `hidden beast` number, since 8 + 2 + 3 + 290 + 8 + 70 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29374767 + ... + 29653713.

It is an arithmetic number, because the mean of its divisors is an integer number (53077667544).

Almost surely, 2^{8232908705280} is an apocalyptic number.

8232908705280 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 8232908705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984853614080).

8232908705280 is an abundant number, since it is smaller than the sum of its proper divisors (25736798522880).

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

8232908705280 is a wasteful number, since it uses less digits than its factorization.

8232908705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279047 (or 279025 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8232908705280 in words is "eight trillion, two hundred thirty-two billion, nine hundred eight million, seven hundred five thousand, two hundred eighty".