7938790272 has 144 divisors (see below), whose sum is σ = 26574631200. Its totient is φ = 2268209664.

The previous prime is 7938790267. The next prime is 7938790297. The reversal of 7938790272 is 2720978397.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13872 + ... + 126767.

It is an arithmetic number, because the mean of its divisors is an integer number (184546050).

Almost surely, 2^7938790272 is an apocalyptic number.

7938790272 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 7938790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287315600).

7938790272 is an abundant number, since it is smaller than the sum of its proper divisors (18635840928).

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

7938790272 is a wasteful number, since it uses less digits than its factorization.

7938790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140673 (or 140651 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7938790272 is about 89099.8892928605. The cubic root of 7938790272 is about 1994.8861246173.

The spelling of 7938790272 in words is "seven billion, nine hundred thirty-eight million, seven hundred ninety thousand, two hundred seventy-two".