4777075008 has 112 divisors (see below), whose sum is σ = 14103217920. Its totient is φ = 1585612800.

The previous prime is 4777074997. The next prime is 4777075013. The reversal of 4777075008 is 8005707774.

It is a happy number.

4777075008 is a `hidden beast` number, since 4 + 77 + 70 + 7 + 500 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 410713 + ... + 422183.

Almost surely, 2^4777075008 is an apocalyptic number.

4777075008 is a gapful number since it is divisible by the number (48) 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 4777075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051608960).

4777075008 is an abundant number, since it is smaller than the sum of its proper divisors (9326142912).

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

4777075008 is a wasteful number, since it uses less digits than its factorization.

4777075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The square root of 4777075008 is about 69116.3874055929. The cubic root of 4777075008 is about 1684.1755317542.

The spelling of 4777075008 in words is "four billion, seven hundred seventy-seven million, seventy-five thousand, eight".