7256590656 has 448 divisors, whose sum is σ = 24579072000. Its totient is φ = 1842462720.

The previous prime is 7256590651. The next prime is 7256590669. The reversal of 7256590656 is 6560956527.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 7256590599 and 7256590608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7256590651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30362185 + ... + 30362423.

It is an arithmetic number, because the mean of its divisors is an integer number (54864000).

Almost surely, 2^7256590656 is an apocalyptic number.

7256590656 is a gapful number since it is divisible by the number (76) 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 7256590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536000).

7256590656 is an abundant number, since it is smaller than the sum of its proper divisors (17322481344).

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

7256590656 is a wasteful number, since it uses less digits than its factorization.

7256590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The square root of 7256590656 is about 85185.6247027631. The cubic root of 7256590656 is about 1936.0246166303.

The spelling of 7256590656 in words is "seven billion, two hundred fifty-six million, five hundred ninety thousand, six hundred fifty-six".