4387949568 has 264 divisors, whose sum is σ = 13406834688. Its totient is φ = 1379524608.

The previous prime is 4387949557. The next prime is 4387949569. The reversal of 4387949568 is 8659497834.

4387949568 is a `hidden beast` number, since 4 + 3 + 87 + 9 + 495 + 68 = 666.

It is a super-2 number, since 2×4387949568² = 38508202822622773248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4387949569) 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, 26919855 + ... + 26920017.

It is a vampire number, since it can be written as 44988 ⋅ 97536 (with its own digits).

Almost surely, 2^4387949568 is an apocalyptic number.

4387949568 is a gapful number since it is divisible by the number (48) 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 4387949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703417344).

4387949568 is an abundant number, since it is smaller than the sum of its proper divisors (9018885120).

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

4387949568 is a wasteful number, since it uses less digits than its factorization.

4387949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 4387949568 is about 66241.5999806768. The cubic root of 4387949568 is about 1637.1452378177.

The spelling of 4387949568 in words is "four billion, three hundred eighty-seven million, nine hundred forty-nine thousand, five hundred sixty-eight".