4273726464 has 264 divisors, whose sum is σ = 14564945408. Its totient is φ = 1181122560.

The previous prime is 4273726451. The next prime is 4273726529. The reversal of 4273726464 is 4646273724.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998804 + ... + 2000940.

Almost surely, 2^4273726464 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 4273726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282472704).

4273726464 is an abundant number, since it is smaller than the sum of its proper divisors (10291218944).

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

4273726464 is a wasteful number, since it uses less digits than its factorization.

4273726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2180 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 4273726464 is about 65373.7444544826. The cubic root of 4273726464 is about 1622.8146040748.

The spelling of 4273726464 in words is "four billion, two hundred seventy-three million, seven hundred twenty-six thousand, four hundred sixty-four".