7256677506 has 64 divisors (see below), whose sum is σ = 16264765440. Its totient is φ = 2143874880.

The previous prime is 7256677487. The next prime is 7256677523. The reversal of 7256677506 is 6057766527.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179551 + ... + 216221.

It is an arithmetic number, because the mean of its divisors is an integer number (254136960).

Almost surely, 2^7256677506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7256677506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132382720).

7256677506 is an abundant number, since it is smaller than the sum of its proper divisors (9008087934).

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

7256677506 is a wasteful number, since it uses less digits than its factorization.

7256677506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36791.

The product of its (nonzero) digits is 3704400, while the sum is 51.

The square root of 7256677506 is about 85186.1344703468. The cubic root of 7256677506 is about 1936.0323403247.

The spelling of 7256677506 in words is "seven billion, two hundred fifty-six million, six hundred seventy-seven thousand, five hundred six".