7441620256 has 192 divisors, whose sum is σ = 18805893120. Its totient is φ = 2821754880.

The previous prime is 7441620233. The next prime is 7441620269. The reversal of 7441620256 is 6520261447.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11793061 + ... + 11793691.

It is an arithmetic number, because the mean of its divisors is an integer number (97947360).

Almost surely, 2^7441620256 is an apocalyptic number.

7441620256 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 7441620256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402946560).

7441620256 is an abundant number, since it is smaller than the sum of its proper divisors (11364272864).

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

7441620256 is a wasteful number, since it uses less digits than its factorization.

7441620256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 7441620256 is about 86264.8262967010. The cubic root of 7441620256 is about 1952.3417193783.

The spelling of 7441620256 in words is "seven billion, four hundred forty-one million, six hundred twenty thousand, two hundred fifty-six".