7201789056 has 768 divisors, whose sum is σ = 27944017920. Its totient is φ = 1791590400.

The previous prime is 7201789027. The next prime is 7201789093. The reversal of 7201789056 is 6509871027.

It is a super-2 number, since 2×7201789056² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74245200 + ... + 74245296.

It is an arithmetic number, because the mean of its divisors is an integer number (36385440).

Almost surely, 2^7201789056 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 7201789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972008960).

7201789056 is an abundant number, since it is smaller than the sum of its proper divisors (20742228864).

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

7201789056 is a wasteful number, since it uses less digits than its factorization.

7201789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 7201789056 is about 84863.3552011703. The cubic root of 7201789056 is about 1931.1386925009.

The spelling of 7201789056 in words is "seven billion, two hundred one million, seven hundred eighty-nine thousand, fifty-six".