4268023760 has 320 divisors, whose sum is σ = 13439139840. Its totient is φ = 1217341440.

The previous prime is 4268023733. The next prime is 4268023763. The reversal of 4268023760 is 673208624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268023763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17857721 + ... + 17857959.

It is an arithmetic number, because the mean of its divisors is an integer number (41997312).

Almost surely, 2^4268023760 is an apocalyptic number.

4268023760 is a gapful number since it is divisible by the number (40) 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 4268023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719569920).

4268023760 is an abundant number, since it is smaller than the sum of its proper divisors (9171116080).

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

4268023760 is a wasteful number, since it uses less digits than its factorization.

4268023760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 4268023760 is about 65330.1137301934. The cubic root of 4268023760 is about 1622.0924746698.

The spelling of 4268023760 in words is "four billion, two hundred sixty-eight million, twenty-three thousand, seven hundred sixty".