4785768240 has 320 divisors, whose sum is σ = 17008911360. Its totient is φ = 1101844480.

The previous prime is 4785768233. The next prime is 4785768257. The reversal of 4785768240 is 428675874.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16333534 + ... + 16333826.

It is an arithmetic number, because the mean of its divisors is an integer number (53152848).

Almost surely, 2^4785768240 is an apocalyptic number.

4785768240 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 4785768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504455680).

4785768240 is an abundant number, since it is smaller than the sum of its proper divisors (12223143120).

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

4785768240 is a wasteful number, since it uses less digits than its factorization.

4785768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The square root of 4785768240 is about 69179.2471771701. The cubic root of 4785768240 is about 1685.1965230842.

The spelling of 4785768240 in words is "four billion, seven hundred eighty-five million, seven hundred sixty-eight thousand, two hundred forty".