4664826144 has 288 divisors, whose sum is σ = 15325075584. Its totient is φ = 1332080640.

The previous prime is 4664826113. The next prime is 4664826181. The reversal of 4664826144 is 4416284664.

4664826144 is a `hidden beast` number, since 466 + 48 + 2 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 4664826144.

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, 5318634 + ... + 5319510.

It is an arithmetic number, because the mean of its divisors is an integer number (53212068).

Almost surely, 2^4664826144 is an apocalyptic number.

4664826144 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 4664826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662537792).

4664826144 is an abundant number, since it is smaller than the sum of its proper divisors (10660249440).

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

4664826144 is a wasteful number, since it uses less digits than its factorization.

4664826144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4664826144 is about 68299.5325313431. The cubic root of 4664826144 is about 1670.8795901835.

The spelling of 4664826144 in words is "four billion, six hundred sixty-four million, eight hundred twenty-six thousand, one hundred forty-four".