7853448096 has 192 divisors, whose sum is σ = 24810589440. Its totient is φ = 2402472960.

The previous prime is 7853448079. The next prime is 7853448103. The reversal of 7853448096 is 6908443587.

7853448096 is a `hidden beast` number, since 78 + 5 + 3 + 4 + 480 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031061 + ... + 2034923.

It is an arithmetic number, because the mean of its divisors is an integer number (129221820).

Almost surely, 2^7853448096 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 7853448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12405294720).

7853448096 is an abundant number, since it is smaller than the sum of its proper divisors (16957141344).

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

7853448096 is a wasteful number, since it uses less digits than its factorization.

7853448096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 7853448096 is about 88619.6823284760. The cubic root of 7853448096 is about 1987.7119984613.

The spelling of 7853448096 in words is "seven billion, eight hundred fifty-three million, four hundred forty-eight thousand, ninety-six".