6726460224 has 112 divisors (see below), whose sum is σ = 19499762880. Its totient is φ = 2029424640.

The previous prime is 6726460207. The next prime is 6726460241. The reversal of 6726460224 is 4220646276.

It is a Cunningham number, because it is equal to 82015²-1.

It is an interprime number because it is at equal distance from previous prime (6726460207) and next prime (6726460241).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485262 + ... + 498930.

Almost surely, 2^6726460224 is an apocalyptic number.

6726460224 is a gapful number since it is divisible by the number (64) 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 6726460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749881440).

6726460224 is an abundant number, since it is smaller than the sum of its proper divisors (12773302656).

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

6726460224 is a wasteful number, since it uses less digits than its factorization.

6726460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13918 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 6726460224 is about 82014.9999939036. Note that the first 5 decimals coincide. The cubic root of 6726460224 is about 1887.6821079737.

The spelling of 6726460224 in words is "six billion, seven hundred twenty-six million, four hundred sixty thousand, two hundred twenty-four".