7254861328 has 160 divisors (see below), whose sum is σ = 17413885440. Its totient is φ = 2882181120.

The previous prime is 7254861301. The next prime is 7254861329. The reversal of 7254861328 is 8231684527.

It is not an unprimeable number, because it can be changed into a prime (7254861329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3515625 + ... + 3517687.

It is an arithmetic number, because the mean of its divisors is an integer number (108836784).

Almost surely, 2^7254861328 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 7254861328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706942720).

7254861328 is an abundant number, since it is smaller than the sum of its proper divisors (10159024112).

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

7254861328 is a wasteful number, since it uses less digits than its factorization.

7254861328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2171 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 7254861328 is about 85175.4737468480. The cubic root of 7254861328 is about 1935.8708121910.

The spelling of 7254861328 in words is "seven billion, two hundred fifty-four million, eight hundred sixty-one thousand, three hundred twenty-eight".