4768558080 has 528 divisors, whose sum is σ = 18124694784. Its totient is φ = 1060700160.

The previous prime is 4768558061. The next prime is 4768558097. The reversal of 4768558080 is 808558674.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

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, 28554157 + ... + 28554323.

Almost surely, 2^4768558080 is an apocalyptic number.

4768558080 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 4768558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062347392).

4768558080 is an abundant number, since it is smaller than the sum of its proper divisors (13356136704).

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

4768558080 is a wasteful number, since it uses less digits than its factorization.

4768558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The square root of 4768558080 is about 69054.7469765837. The cubic root of 4768558080 is about 1683.1740448127.

The spelling of 4768558080 in words is "four billion, seven hundred sixty-eight million, five hundred fifty-eight thousand, eighty".