7734445056 has 308 divisors, whose sum is σ = 24995908812. Its totient is φ = 2376843264.

The previous prime is 7734445021. The next prime is 7734445057. The reversal of 7734445056 is 6505444377.

7734445056 is a `hidden beast` number, since 77 + 34 + 44 + 505 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 5393433600 = 48384^2 + 73440^2 .

It is not an unprimeable number, because it can be changed into a prime (7734445057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9704050 + ... + 9704846.

Almost surely, 2^7734445056 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 7734445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497954406).

7734445056 is an abundant number, since it is smaller than the sum of its proper divisors (17261463756).

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

7734445056 is an equidigital number, since it uses as much as digits as its factorization.

7734445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The square root of 7734445056 is about 87945.6937888377. The cubic root of 7734445056 is about 1977.6209442593.

The spelling of 7734445056 in words is "seven billion, seven hundred thirty-four million, four hundred forty-five thousand, fifty-six".