4053600768 has 320 divisors, whose sum is σ = 13302862848. Its totient is φ = 1070530560.

The previous prime is 4053600739. The next prime is 4053600769. The reversal of 4053600768 is 8670063504.

It is not an unprimeable number, because it can be changed into a prime (4053600769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12246363 + ... + 12246693.

Almost surely, 2^4053600768 is an apocalyptic number.

4053600768 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 4053600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651431424).

4053600768 is an abundant number, since it is smaller than the sum of its proper divisors (9249262080).

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

4053600768 is a wasteful number, since it uses less digits than its factorization.

4053600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4053600768 is about 63667.8943267327. The cubic root of 4053600768 is about 1594.4601072979.

The spelling of 4053600768 in words is "four billion, fifty-three million, six hundred thousand, seven hundred sixty-eight".