4668134280 has 256 divisors, whose sum is σ = 15054336000. Its totient is φ = 1155382272.

The previous prime is 4668134279. The next prime is 4668134297. The reversal of 4668134280 is 824318664.

It is a super-2 number, since 2×4668134280² = 43582955312222236800, which contains 22 as substring.

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, 17749429 + ... + 17749691.

It is an arithmetic number, because the mean of its divisors is an integer number (58806000).

Almost surely, 2^4668134280 is an apocalyptic number.

4668134280 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 4668134280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527168000).

4668134280 is an abundant number, since it is smaller than the sum of its proper divisors (10386201720).

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

4668134280 is a wasteful number, since it uses less digits than its factorization.

4668134280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4668134280 is about 68323.7460916774. The cubic root of 4668134280 is about 1671.2744738391.

The spelling of 4668134280 in words is "four billion, six hundred sixty-eight million, one hundred thirty-four thousand, two hundred eighty".