4083298560 has 576 divisors, whose sum is σ = 16529909760. Its totient is φ = 944824320.

The previous prime is 4083298559. The next prime is 4083298567. The reversal of 4083298560 is 658923804.

4083298560 is a `hidden beast` number, since 4 + 0 + 83 + 2 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4083298567) 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, 8743447 + ... + 8743913.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^4083298560 is an apocalyptic number.

4083298560 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 4083298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264954880).

4083298560 is an abundant number, since it is smaller than the sum of its proper divisors (12446611200).

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

4083298560 is a wasteful number, since it uses less digits than its factorization.

4083298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4083298560 is about 63900.6929539892. The cubic root of 4083298560 is about 1598.3444542376.

The spelling of 4083298560 in words is "four billion, eighty-three million, two hundred ninety-eight thousand, five hundred sixty".