4664249856 has 240 divisors, whose sum is σ = 16055829504. Its totient is φ = 1274499072.

The previous prime is 4664249851. The next prime is 4664249857. The reversal of 4664249856 is 6589424664.

4664249856 is a `hidden beast` number, since 4 + 66 + 42 + 498 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664249851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738745 + ... + 745031.

Almost surely, 2^4664249856 is an apocalyptic number.

4664249856 is a gapful number since it is divisible by the number (46) 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 4664249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027914752).

4664249856 is an abundant number, since it is smaller than the sum of its proper divisors (11391579648).

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

4664249856 is a wasteful number, since it uses less digits than its factorization.

4664249856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6322 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 4664249856 is about 68295.3135727482. The cubic root of 4664249856 is about 1670.8107810802.

The spelling of 4664249856 in words is "four billion, six hundred sixty-four million, two hundred forty-nine thousand, eight hundred fifty-six".