4106648000 has 224 divisors, whose sum is σ = 12519282048. Its totient is φ = 1299456000.

The previous prime is 4106647991. The next prime is 4106648009. The reversal of 4106648000 is 8466014.

4106648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4106647991) and next prime (4106648009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106648009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725180 + ... + 730820.

It is an arithmetic number, because the mean of its divisors is an integer number (55889652).

Almost surely, 2^4106648000 is an apocalyptic number.

4106648000 is a gapful number since it is divisible by the number (40) 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 4106648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259641024).

4106648000 is an abundant number, since it is smaller than the sum of its proper divisors (8412634048).

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

4106648000 is a wasteful number, since it uses less digits than its factorization.

4106648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4106648000 is about 64083.1335064071. The cubic root of 4106648000 is about 1601.3852586488.

The spelling of 4106648000 in words is "four billion, one hundred six million, six hundred forty-eight thousand".