7738938792 has 192 divisors, whose sum is σ = 23976388800. Its totient is φ = 2235340800.

The previous prime is 7738938751. The next prime is 7738938793. The reversal of 7738938792 is 2978398377.

It is not an unprimeable number, because it can be changed into a prime (7738938793) 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 47 ways as a sum of consecutive naturals, for example, 2007667 + ... + 2011517.

It is an arithmetic number, because the mean of its divisors is an integer number (124877025).

Almost surely, 2^7738938792 is an apocalyptic number.

7738938792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7738938792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988194400).

7738938792 is an abundant number, since it is smaller than the sum of its proper divisors (16237450008).

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

7738938792 is a wasteful number, since it uses less digits than its factorization.

7738938792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4001 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 7738938792 is about 87971.2384362071. The cubic root of 7738938792 is about 1978.0038713608.

The spelling of 7738938792 in words is "seven billion, seven hundred thirty-eight million, nine hundred thirty-eight thousand, seven hundred ninety-two".