4955700906 has 144 divisors (see below), whose sum is σ = 12674433600. Its totient is φ = 1434371328.

The previous prime is 4955700901. The next prime is 4955700907. The reversal of 4955700906 is 6090075594.

It is a happy number.

4955700906 is a `hidden beast` number, since 4 + 9 + 557 + 0 + 0 + 90 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4955700901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2636475 + ... + 2638353.

It is an arithmetic number, because the mean of its divisors is an integer number (88016900).

Almost surely, 2^4955700906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955700906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337216800).

4955700906 is an abundant number, since it is smaller than the sum of its proper divisors (7718732694).

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

4955700906 is a wasteful number, since it uses less digits than its factorization.

4955700906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 4955700906 is about 70396.7393136926. The cubic root of 4955700906 is about 1704.9109330471.

The spelling of 4955700906 in words is "four billion, nine hundred fifty-five million, seven hundred thousand, nine hundred six".