4792883760 has 240 divisors, whose sum is σ = 19364117760. Its totient is φ = 1037836800.

The previous prime is 4792883749. The next prime is 4792883789. The reversal of 4792883760 is 673882974.

4792883760 is a `hidden beast` number, since 479 + 2 + 88 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4792883697 and 4792883706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70735 + ... + 120785.

It is an arithmetic number, because the mean of its divisors is an integer number (80683824).

Almost surely, 2^4792883760 is an apocalyptic number.

4792883760 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 4792883760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682058880).

4792883760 is an abundant number, since it is smaller than the sum of its proper divisors (14571234000).

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

4792883760 is a wasteful number, since it uses less digits than its factorization.

4792883760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50096 (or 50087 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4792883760 is about 69230.6562152924. The cubic root of 4792883760 is about 1686.0312975704.

The spelling of 4792883760 in words is "four billion, seven hundred ninety-two million, eight hundred eighty-three thousand, seven hundred sixty".