4273132968 has 240 divisors, whose sum is σ = 13200444180. Its totient is φ = 1283724288.

The previous prime is 4273132967. The next prime is 4273132973. The reversal of 4273132968 is 8692313724.

4273132968 is a `hidden beast` number, since 42 + 7 + 313 + 296 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3212849124 + 1060283844 = 56682^2 + 32562^2 .

It is not an unprimeable number, because it can be changed into a prime (4273132961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37815280 + ... + 37815392.

Almost surely, 2^4273132968 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 4273132968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600222090).

4273132968 is an abundant number, since it is smaller than the sum of its proper divisors (8927311212).

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

4273132968 is a wasteful number, since it uses less digits than its factorization.

4273132968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 198 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4273132968 is about 65369.2050433536. The cubic root of 4273132968 is about 1622.7394800527.

The spelling of 4273132968 in words is "four billion, two hundred seventy-three million, one hundred thirty-two thousand, nine hundred sixty-eight".