8472270240 has 576 divisors, whose sum is σ = 35928023040. Its totient is φ = 1774172160.

The previous prime is 8472270227. The next prime is 8472270241. The reversal of 8472270240 is 420722748.

8472270240 is a `hidden beast` number, since 84 + 72 + 270 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8472270195 and 8472270204.

It is not an unprimeable number, because it can be changed into a prime (8472270241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936407 + ... + 5937833.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 2^8472270240 is an apocalyptic number.

8472270240 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 8472270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964011520).

8472270240 is an abundant number, since it is smaller than the sum of its proper divisors (27455752800).

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

8472270240 is a wasteful number, since it uses less digits than its factorization.

8472270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 8472270240 is about 92044.9359823777. The cubic root of 8472270240 is about 2038.6058525238.

Adding to 8472270240 its reverse (420722748), we get a palindrome (8892992988).

The spelling of 8472270240 in words is "eight billion, four hundred seventy-two million, two hundred seventy thousand, two hundred forty".