4679635968 has 396 divisors, whose sum is σ = 16469867232. Its totient is φ = 1253376000.

The previous prime is 4679635967. The next prime is 4679635979. The reversal of 4679635968 is 8695369764.

4679635968 is a `hidden beast` number, since 467 + 9 + 63 + 59 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (58786560) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4679635967) 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 35 ways as a sum of consecutive naturals, for example, 18643843 + ... + 18644093.

Almost surely, 2^4679635968 is an apocalyptic number.

4679635968 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 4679635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234933616).

4679635968 is an abundant number, since it is smaller than the sum of its proper divisors (11790231264).

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

4679635968 is a wasteful number, since it uses less digits than its factorization.

4679635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 280 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 4679635968 is about 68407.8648109996. The cubic root of 4679635968 is about 1672.6459505174.

The spelling of 4679635968 in words is "four billion, six hundred seventy-nine million, six hundred thirty-five thousand, nine hundred sixty-eight".