7725818016 has 384 divisors, whose sum is σ = 26940211200. Its totient is φ = 2107607040.

The previous prime is 7725817999. The next prime is 7725818027. The reversal of 7725818016 is 6108185277.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16686201 + ... + 16686663.

It is an arithmetic number, because the mean of its divisors is an integer number (70156800).

Almost surely, 2^7725818016 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 7725818016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470105600).

7725818016 is an abundant number, since it is smaller than the sum of its proper divisors (19214393184).

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

7725818016 is a wasteful number, since it uses less digits than its factorization.

7725818016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 7725818016 is about 87896.6325634833. The cubic root of 7725818016 is about 1976.8853878354.

The spelling of 7725818016 in words is "seven billion, seven hundred twenty-five million, eight hundred eighteen thousand, sixteen".