8482037760 has 672 divisors, whose sum is σ = 35576012160. Its totient is φ = 1826095104.

The previous prime is 8482037737. The next prime is 8482037761. The reversal of 8482037760 is 677302848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 (8482037761) 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, 49029034 + ... + 49029206.

Almost surely, 2^8482037760 is an apocalyptic number.

8482037760 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 8482037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788006080).

8482037760 is an abundant number, since it is smaller than the sum of its proper divisors (27093974400).

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

8482037760 is a wasteful number, since it uses less digits than its factorization.

8482037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8482037760 is about 92097.9791309234. The cubic root of 8482037760 is about 2039.3889750190.

The spelling of 8482037760 in words is "eight billion, four hundred eighty-two million, thirty-seven thousand, seven hundred sixty".