4004618688 has 504 divisors, whose sum is σ = 14454835200. Its totient is φ = 1053803520.

The previous prime is 4004618677. The next prime is 4004618699. The reversal of 4004618688 is 8868164004.

It is an interprime number because it is at equal distance from previous prime (4004618677) and next prime (4004618699).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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, 20123613 + ... + 20123811.

Almost surely, 2^4004618688 is an apocalyptic number.

4004618688 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 4004618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227417600).

4004618688 is an abundant number, since it is smaller than the sum of its proper divisors (10450216512).

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

4004618688 is a wasteful number, since it uses less digits than its factorization.

4004618688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4004618688 is about 63282.0566037483. The cubic root of 4004618688 is about 1588.0117928092.

The spelling of 4004618688 in words is "four billion, four million, six hundred eighteen thousand, six hundred eighty-eight".