7725943296 has 200 divisors, whose sum is σ = 23185546164. Its totient is φ = 2561310720.

The previous prime is 7725943283. The next prime is 7725943297. The reversal of 7725943296 is 6923495277.

7725943296 is a `hidden beast` number, since 7 + 72 + 59 + 432 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7589894400 + 136048896 = 87120^2 + 11664^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7725943297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9994366 + ... + 9995138.

Almost surely, 2^7725943296 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 7725943296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592773082).

7725943296 is an abundant number, since it is smaller than the sum of its proper divisors (15459602868).

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

7725943296 is an equidigital number, since it uses as much as digits as its factorization.

7725943296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1019 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 7725943296 is about 87897.3452158824. The cubic root of 7725943296 is about 1976.8960733430.

The spelling of 7725943296 in words is "seven billion, seven hundred twenty-five million, nine hundred forty-three thousand, two hundred ninety-six".