4368966624 has 144 divisors (see below), whose sum is σ = 13661706240. Its totient is φ = 1313383680.

The previous prime is 4368966577. The next prime is 4368966643. The reversal of 4368966624 is 4266698634.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396907 + ... + 407765.

It is an arithmetic number, because the mean of its divisors is an integer number (94872960).

Almost surely, 2^4368966624 is an apocalyptic number.

4368966624 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 4368966624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830853120).

4368966624 is an abundant number, since it is smaller than the sum of its proper divisors (9292739616).

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

4368966624 is a wasteful number, since it uses less digits than its factorization.

4368966624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013 (or 11002 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 4368966624 is about 66098.1590061327. The cubic root of 4368966624 is about 1634.7809778718.

The spelling of 4368966624 in words is "four billion, three hundred sixty-eight million, nine hundred sixty-six thousand, six hundred twenty-four".