4677285888 has 576 divisors, whose sum is σ = 16558214400. Its totient is φ = 1254359040.

The previous prime is 4677285817. The next prime is 4677285923. The reversal of 4677285888 is 8885827764.

4677285888 is a `hidden beast` number, since 46 + 7 + 7 + 2 + 8 + 588 + 8 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79276003 + ... + 79276061.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^4677285888 is an apocalyptic number.

4677285888 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 4677285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279107200).

4677285888 is an abundant number, since it is smaller than the sum of its proper divisors (11880928512).

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

4677285888 is a wasteful number, since it uses less digits than its factorization.

4677285888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The square root of 4677285888 is about 68390.6856816043. The cubic root of 4677285888 is about 1672.3659066550.

The spelling of 4677285888 in words is "four billion, six hundred seventy-seven million, two hundred eighty-five thousand, eight hundred eighty-eight".