4681004790 has 144 divisors (see below), whose sum is σ = 14365206576. Its totient is φ = 972639360.

The previous prime is 4681004777. The next prime is 4681004803. The reversal of 4681004790 is 974001864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4681004777) and next prime (4681004803).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164712 + ... + 191028.

It is an arithmetic number, because the mean of its divisors is an integer number (99758379).

Almost surely, 2^4681004790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681004790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182603288).

4681004790 is an abundant number, since it is smaller than the sum of its proper divisors (9684201786).

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

4681004790 is a wasteful number, since it uses less digits than its factorization.

4681004790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26363 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4681004790 is about 68417.8689378732. The cubic root of 4681004790 is about 1672.8090209921.

The spelling of 4681004790 in words is "four billion, six hundred eighty-one million, four thousand, seven hundred ninety".