7297952256 has 400 divisors, whose sum is σ = 26000371584. Its totient is φ = 1992646656.

The previous prime is 7297952197. The next prime is 7297952267. The reversal of 7297952256 is 6522597927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 6676446 + ... + 6677538.

Almost surely, 2^7297952256 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 7297952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000185792).

7297952256 is an abundant number, since it is smaller than the sum of its proper divisors (18702419328).

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

7297952256 is a wasteful number, since it uses less digits than its factorization.

7297952256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1128 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 7297952256 is about 85428.0530973286. The cubic root of 7297952256 is about 1939.6960107526.

The spelling of 7297952256 in words is "seven billion, two hundred ninety-seven million, nine hundred fifty-two thousand, two hundred fifty-six".