4774106304 has 504 divisors, whose sum is σ = 16231575360. Its totient is φ = 1389104640.

The previous prime is 4774106303. The next prime is 4774106317. The reversal of 4774106304 is 4036014774.

It is a happy number.

4774106304 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 10 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4774106303) 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 71 ways as a sum of consecutive naturals, for example, 80917027 + ... + 80917085.

Almost surely, 2^4774106304 is an apocalyptic number.

4774106304 is a gapful number since it is divisible by the number (44) 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 4774106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115787680).

4774106304 is an abundant number, since it is smaller than the sum of its proper divisors (11457469056).

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

4774106304 is a wasteful number, since it uses less digits than its factorization.

4774106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4774106304 is about 69094.9079455208. The cubic root of 4774106304 is about 1683.8265835871.

The spelling of 4774106304 in words is "four billion, seven hundred seventy-four million, one hundred six thousand, three hundred four".