7853648224 has 60 divisors (see below), whose sum is σ = 16060228884. Its totient is φ = 3780490112.

The previous prime is 7853648213. The next prime is 7853648227. The reversal of 7853648224 is 4228463587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7853648227) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22632819 + ... + 22633165.

Almost surely, 2^7853648224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7853648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030114442).

7853648224 is an abundant number, since it is smaller than the sum of its proper divisors (8206580660).

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

7853648224 is an frugal number, since it uses more digits than its factorization.

7853648224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 378 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The square root of 7853648224 is about 88620.8114609655. The cubic root of 7853648224 is about 1987.7288824866.

The spelling of 7853648224 in words is "seven billion, eight hundred fifty-three million, six hundred forty-eight thousand, two hundred twenty-four".