7290896256 has 192 divisors, whose sum is σ = 24116227200. Its totient is φ = 2071065600.

The previous prime is 7290896251. The next prime is 7290896357. The reversal of 7290896256 is 6526980927.

7290896256 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 8 + 9 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7290896251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440931 + ... + 1445981.

It is an arithmetic number, because the mean of its divisors is an integer number (125605350).

Almost surely, 2^7290896256 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 7290896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058113600).

7290896256 is an abundant number, since it is smaller than the sum of its proper divisors (16825330944).

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

7290896256 is a wasteful number, since it uses less digits than its factorization.

7290896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7290896256 is about 85386.7452008800. The cubic root of 7290896256 is about 1939.0706797074.

The spelling of 7290896256 in words is "seven billion, two hundred ninety million, eight hundred ninety-six thousand, two hundred fifty-six".