4791076290 has 640 divisors, whose sum is σ = 18265927680. Its totient is φ = 867801600.

The previous prime is 4791076261. The next prime is 4791076291. The reversal of 4791076290 is 926701974.

4791076290 is a `hidden beast` number, since 4 + 7 + 9 + 10 + 7 + 629 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4791076291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15405235 + ... + 15405545.

It is an arithmetic number, because the mean of its divisors is an integer number (28540512).

Almost surely, 2^4791076290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791076290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132963840).

4791076290 is an abundant number, since it is smaller than the sum of its proper divisors (13474851390).

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

4791076290 is a wasteful number, since it uses less digits than its factorization.

4791076290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 4791076290 is about 69217.6010130371. The cubic root of 4791076290 is about 1685.8193281659.

The spelling of 4791076290 in words is "four billion, seven hundred ninety-one million, seventy-six thousand, two hundred ninety".