4004593648 has 40 divisors (see below), whose sum is σ = 8487086256. Its totient is φ = 1815360000.

The previous prime is 4004593643. The next prime is 4004593651. The reversal of 4004593648 is 8463954004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004593643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35148 + ... + 96148.

Almost surely, 2^4004593648 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 4004593648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243543128).

4004593648 is an abundant number, since it is smaller than the sum of its proper divisors (4482492608).

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

4004593648 is a wasteful number, since it uses less digits than its factorization.

4004593648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61393 (or 61387 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 4004593648 is about 63281.8587590472. The cubic root of 4004593648 is about 1588.0084829728.

The spelling of 4004593648 in words is "four billion, four million, five hundred ninety-three thousand, six hundred forty-eight".