7916838048 has 192 divisors, whose sum is σ = 26455403520. Its totient is φ = 2256304896.

The previous prime is 7916838029. The next prime is 7916838071. The reversal of 7916838048 is 8408386197.

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

It is a junction number, because it is equal to n+sod(n) for n = 7916837985 and 7916838003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823015 + ... + 2825817.

It is an arithmetic number, because the mean of its divisors is an integer number (137788560).

Almost surely, 2^7916838048 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 7916838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227701760).

7916838048 is an abundant number, since it is smaller than the sum of its proper divisors (18538565472).

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

7916838048 is a wasteful number, since it uses less digits than its factorization.

7916838048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 7916838048 is about 88976.6151749998. The cubic root of 7916838048 is about 1993.0456841059.

The spelling of 7916838048 in words is "seven billion, nine hundred sixteen million, eight hundred thirty-eight thousand, forty-eight".