4297745760 has 576 divisors, whose sum is σ = 17584584192. Its totient is φ = 864230400.

The previous prime is 4297745713. The next prime is 4297745819. The reversal of 4297745760 is 675477924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138636945 + ... + 138636975.

It is an arithmetic number, because the mean of its divisors is an integer number (30528792).

Almost surely, 2^4297745760 is an apocalyptic number.

4297745760 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 4297745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792292096).

4297745760 is an abundant number, since it is smaller than the sum of its proper divisors (13286838432).

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

4297745760 is a wasteful number, since it uses less digits than its factorization.

4297745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The square root of 4297745760 is about 65557.1945708478. The cubic root of 4297745760 is about 1625.8491196204.

It can be divided in two parts, 429774 and 5760, that added together give a palindrome (435534).

The spelling of 4297745760 in words is "four billion, two hundred ninety-seven million, seven hundred forty-five thousand, seven hundred sixty".