7389785549056 has 243 divisors, whose sum is σ = 15785285035849. Its totient is φ = 3452431814656.

The previous prime is 7389785549017. The next prime is 7389785549131. The reversal of 7389785549056 is 6509455879837.

The square root of 7389785549056 is 2718416.

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

It can be written as a sum of positive squares in only one way, i.e., 1418995558656 + 5970789990400 = 1191216^2 + 2443520^2 .

It is a super-2 number, since 2×7389785549056² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 83031298260 + ... + 83031298348.

Almost surely, 2^{7389785549056} is an apocalyptic number.

7389785549056 is the 2718416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7389785549056

7389785549056 is an abundant number, since it is smaller than the sum of its proper divisors (8395499486793).

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

7389785549056 is an frugal number, since it uses more digits than its factorization.

7389785549056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2286144000, while the sum is 76.

The spelling of 7389785549056 in words is "seven trillion, three hundred eighty-nine billion, seven hundred eighty-five million, five hundred forty-nine thousand, fifty-six".