4004663936 has 128 divisors (see below), whose sum is σ = 9932025600. Its totient is φ = 1566056448.

The previous prime is 4004663933. The next prime is 4004663947. The reversal of 4004663936 is 6393664004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4004663893 and 4004663902.

It is not an unprimeable number, because it can be changed into a prime (4004663933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034741 + ... + 1038603.

It is an arithmetic number, because the mean of its divisors is an integer number (77593950).

Almost surely, 2^4004663936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966012800).

4004663936 is an abundant number, since it is smaller than the sum of its proper divisors (5927361664).

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

4004663936 is a wasteful number, since it uses less digits than its factorization.

4004663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The square root of 4004663936 is about 63282.4141132432. The cubic root of 4004663936 is about 1588.0177737438.

The spelling of 4004663936 in words is "four billion, four million, six hundred sixty-three thousand, nine hundred thirty-six".