4668056280 has 192 divisors, whose sum is σ = 15479193600. Its totient is φ = 1219795200.

The previous prime is 4668056273. The next prime is 4668056297. The reversal of 4668056280 is 826508664.

4668056280 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 0 + 562 + 80 = 666.

It is a super-3 number, since 3×4668056280³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4293897 + ... + 4294983.

It is an arithmetic number, because the mean of its divisors is an integer number (80620800).

Almost surely, 2^4668056280 is an apocalyptic number.

4668056280 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 4668056280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739596800).

4668056280 is an abundant number, since it is smaller than the sum of its proper divisors (10811137320).

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

4668056280 is a wasteful number, since it uses less digits than its factorization.

4668056280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4668056280 is about 68323.1752775001. The cubic root of 4668056280 is about 1671.2651653283.

The spelling of 4668056280 in words is "four billion, six hundred sixty-eight million, fifty-six thousand, two hundred eighty".