7864624272 has 20 divisors (see below), whose sum is σ = 20316946160. Its totient is φ = 2621541408.

The previous prime is 7864624249. The next prime is 7864624279. The reversal of 7864624272 is 2724264687.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 163846339 = 7864624272 / (7 + 8 + 6 + 4 + 6 + 2 + 4 + 2 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (7864624279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81923122 + ... + 81923217.

It is an arithmetic number, because the mean of its divisors is an integer number (1015847308).

Almost surely, 2^7864624272 is an apocalyptic number.

It is an amenable number.

7864624272 is an abundant number, since it is smaller than the sum of its proper divisors (12452321888).

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

7864624272 is a wasteful number, since it uses less digits than its factorization.

7864624272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163846350 (or 163846344 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 7864624272 is about 88682.7168731315. The cubic root of 7864624272 is about 1988.6544502855.

The spelling of 7864624272 in words is "seven billion, eight hundred sixty-four million, six hundred twenty-four thousand, two hundred seventy-two".