4664727144 has 288 divisors, whose sum is σ = 16463952960. Its totient is φ = 1211189760.

The previous prime is 4664727127. The next prime is 4664727173. The reversal of 4664727144 is 4417274664.

It is a happy number.

4664727144 is a `hidden beast` number, since 466 + 47 + 2 + 7 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4664727144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1645152 + ... + 1647984.

Almost surely, 2^4664727144 is an apocalyptic number.

4664727144 is a gapful number since it is divisible by the number (44) 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 4664727144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231976480).

4664727144 is an abundant number, since it is smaller than the sum of its proper divisors (11799225816).

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

4664727144 is a wasteful number, since it uses less digits than its factorization.

4664727144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2856 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 4664727144 is about 68298.8077787599. The cubic root of 4664727144 is about 1670.8677699324.

The spelling of 4664727144 in words is "four billion, six hundred sixty-four million, seven hundred twenty-seven thousand, one hundred forty-four".