8281604760 has 512 divisors, whose sum is σ = 30481920000. Its totient is φ = 1773158400.

The previous prime is 8281604759. The next prime is 8281604761. The reversal of 8281604760 is 674061828.

It is an interprime number because it is at equal distance from previous prime (8281604759) and next prime (8281604761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8281604761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55581166 + ... + 55581314.

It is an arithmetic number, because the mean of its divisors is an integer number (59535000).

Almost surely, 2^8281604760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8281604760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960000).

8281604760 is an abundant number, since it is smaller than the sum of its proper divisors (22200315240).

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

8281604760 is a wasteful number, since it uses less digits than its factorization.

8281604760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8281604760 is about 91003.3227964782. The cubic root of 8281604760 is about 2023.1969733568.

The spelling of 8281604760 in words is "eight billion, two hundred eighty-one million, six hundred four thousand, seven hundred sixty".