8032685760 has 336 divisors, whose sum is σ = 31260483072. Its totient is φ = 1947110400.

The previous prime is 8032685737. The next prime is 8032685767. The reversal of 8032685760 is 675862308.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8032685767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850665 + ... + 860055.

It is an arithmetic number, because the mean of its divisors is an integer number (93037152).

Almost surely, 2^8032685760 is an apocalyptic number.

8032685760 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 8032685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630241536).

8032685760 is an abundant number, since it is smaller than the sum of its proper divisors (23227797312).

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

8032685760 is a wasteful number, since it uses less digits than its factorization.

8032685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8032685760 is about 89625.2517988095. The cubic root of 8032685760 is about 2002.7201121511.

The spelling of 8032685760 in words is "eight billion, thirty-two million, six hundred eighty-five thousand, seven hundred sixty".