4697679168 has 672 divisors, whose sum is σ = 17973446400. Its totient is φ = 1138655232.

The previous prime is 4697679157. The next prime is 4697679193. The reversal of 4697679168 is 8619767964.

4697679168 is a `hidden beast` number, since 469 + 7 + 6 + 7 + 9 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4697679168² = 44136379130922344448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52782868 + ... + 52782956.

It is an arithmetic number, because the mean of its divisors is an integer number (26746200).

Almost surely, 2^4697679168 is an apocalyptic number.

4697679168 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 4697679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986723200).

4697679168 is an abundant number, since it is smaller than the sum of its proper divisors (13275767232).

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

4697679168 is a wasteful number, since it uses less digits than its factorization.

4697679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 4697679168 is about 68539.6175069572. The cubic root of 4697679168 is about 1674.7929252290.

It can be divided in two parts, 4697 and 679168, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 4697679168 in words is "four billion, six hundred ninety-seven million, six hundred seventy-nine thousand, one hundred sixty-eight".