4267726848 has 576 divisors, whose sum is σ = 16026716160. Its totient is φ = 1061683200.

The previous prime is 4267726831. The next prime is 4267726873. The reversal of 4267726848 is 8486277624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4267726794 and 4267726803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43997136 + ... + 43997232.

It is an arithmetic number, because the mean of its divisors is an integer number (27824160).

Almost surely, 2^4267726848 is an apocalyptic number.

4267726848 is a gapful number since it is divisible by the number (48) 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 4267726848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013358080).

4267726848 is an abundant number, since it is smaller than the sum of its proper divisors (11758989312).

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

4267726848 is a wasteful number, since it uses less digits than its factorization.

4267726848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 4267726848 is about 65327.8412929740. The cubic root of 4267726848 is about 1622.0548592989.

The spelling of 4267726848 in words is "four billion, two hundred sixty-seven million, seven hundred twenty-six thousand, eight hundred forty-eight".