8485002720 has 240 divisors, whose sum is σ = 30022423200. Its totient is φ = 2256823296.

The previous prime is 8485002707. The next prime is 8485002781. The reversal of 8485002720 is 272005848.

It is a happy number.

8485002720 is a `hidden beast` number, since 84 + 8 + 500 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7762494 + ... + 7763586.

It is an arithmetic number, because the mean of its divisors is an integer number (125093430).

Almost surely, 2^8485002720 is an apocalyptic number.

8485002720 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 8485002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011211600).

8485002720 is an abundant number, since it is smaller than the sum of its proper divisors (21537420480).

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

8485002720 is a wasteful number, since it uses less digits than its factorization.

8485002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8485002720 is about 92114.0744946178. The cubic root of 8485002720 is about 2039.6265752469.

The spelling of 8485002720 in words is "eight billion, four hundred eighty-five million, two thousand, seven hundred twenty".