4312272768 has 128 divisors (see below), whose sum is σ = 12183035040. Its totient is φ = 1346764800.

The previous prime is 4312272697. The next prime is 4312272773. The reversal of 4312272768 is 8672722134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1571878 + ... + 1574618.

Almost surely, 2^4312272768 is an apocalyptic number.

4312272768 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 4312272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091517520).

4312272768 is an abundant number, since it is smaller than the sum of its proper divisors (7870762272).

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

4312272768 is a wasteful number, since it uses less digits than its factorization.

4312272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3004 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4312272768 is about 65667.8975451476. The cubic root of 4312272768 is about 1627.6789286077.

The spelling of 4312272768 in words is "four billion, three hundred twelve million, two hundred seventy-two thousand, seven hundred sixty-eight".