4768409088 has 200 divisors, whose sum is σ = 14695517760. Its totient is φ = 1537781760.

The previous prime is 4768408991. The next prime is 4768409123. The reversal of 4768409088 is 8809048674.

4768409088 is a `hidden beast` number, since 476 + 8 + 4 + 0 + 90 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1283778 + ... + 1287486.

Almost surely, 2^4768409088 is an apocalyptic number.

4768409088 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 4768409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347758880).

4768409088 is an abundant number, since it is smaller than the sum of its proper divisors (9927108672).

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

4768409088 is an equidigital number, since it uses as much as digits as its factorization.

4768409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4768409088 is about 69053.6681719371. The cubic root of 4768409088 is about 1683.1565145604.

The spelling of 4768409088 in words is "four billion, seven hundred sixty-eight million, four hundred nine thousand, eighty-eight".