7838623296 has 567 divisors, whose sum is σ = 28688613057. Its totient is φ = 2039869440.

The previous prime is 7838623249. The next prime is 7838623297. The reversal of 7838623296 is 6923268387.

It is a happy number.

The square root of 7838623296 is 88536.

It is a perfect power (a square), and thus also a powerful number.

7838623296 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 623 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6102734400 + 1735888896 = 78120^2 + 41664^2 .

It is a super-2 number, since 2×7838623296² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (7838623297) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 252858801 + ... + 252858831.

Almost surely, 2^7838623296 is an apocalyptic number.

7838623296 is the 88536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838623296

7838623296 is an abundant number, since it is smaller than the sum of its proper divisors (20849989761).

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

7838623296 is a wasteful number, since it uses less digits than its factorization.

7838623296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 60 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The cubic root of 7838623296 is about 1986.4604889909.

The spelling of 7838623296 in words is "seven billion, eight hundred thirty-eight million, six hundred twenty-three thousand, two hundred ninety-six".