4677639168 has 176 divisors, whose sum is σ = 13111280640. Its totient is φ = 1479819264.

The previous prime is 4677639167. The next prime is 4677639223. The reversal of 4677639168 is 8619367764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677639163) 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 15 ways as a sum of consecutive naturals, for example, 16886646 + ... + 16886922.

Almost surely, 2^4677639168 is an apocalyptic number.

4677639168 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 4677639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555640320).

4677639168 is an abundant number, since it is smaller than the sum of its proper divisors (8433641472).

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

4677639168 is a wasteful number, since it uses less digits than its factorization.

4677639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 4677639168 is about 68393.2684406879. The cubic root of 4677639168 is about 1672.4080107418.

The spelling of 4677639168 in words is "four billion, six hundred seventy-seven million, six hundred thirty-nine thousand, one hundred sixty-eight".