4676474880 has 576 divisors, whose sum is σ = 20237817600. Its totient is φ = 970260480.

The previous prime is 4676474879. The next prime is 4676474939. The reversal of 4676474880 is 884746764.

4676474880 is a `hidden beast` number, since 467 + 64 + 7 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 7095991 + ... + 7096649.

It is an arithmetic number, because the mean of its divisors is an integer number (35135100).

Almost surely, 2^4676474880 is an apocalyptic number.

4676474880 is a gapful number since it is divisible by the number (40) 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 4676474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118908800).

4676474880 is an abundant number, since it is smaller than the sum of its proper divisors (15561342720).

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

4676474880 is a wasteful number, since it uses less digits than its factorization.

4676474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 4676474880 is about 68384.7561960997. The cubic root of 4676474880 is about 1672.2692422959.

The spelling of 4676474880 in words is "four billion, six hundred seventy-six million, four hundred seventy-four thousand, eight hundred eighty".