5779767168 has 576 divisors, whose sum is σ = 21631568400. Its totient is φ = 1467777024.

The previous prime is 5779767157. The next prime is 5779767179. The reversal of 5779767168 is 8617679775.

It is an interprime number because it is at equal distance from previous prime (5779767157) and next prime (5779767179).

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18232546 + ... + 18232862.

Almost surely, 2^5779767168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5779767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815784200).

5779767168 is an abundant number, since it is smaller than the sum of its proper divisors (15851801232).

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

5779767168 is a wasteful number, since it uses less digits than its factorization.

5779767168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The square root of 5779767168 is about 76024.7799602209. The cubic root of 5779767168 is about 1794.6101286759.

The spelling of 5779767168 in words is "five billion, seven hundred seventy-nine million, seven hundred sixty-seven thousand, one hundred sixty-eight".