4577112768 has 112 divisors (see below), whose sum is σ = 12805664000. Its totient is φ = 1438829568.

The previous prime is 4577112697. The next prime is 4577112773. The reversal of 4577112768 is 8672117754.

It is a super-2 number, since 2×4577112768² = 41899922581977243648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832653 + ... + 838131.

Almost surely, 2^4577112768 is an apocalyptic number.

4577112768 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 4577112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402832000).

4577112768 is an abundant number, since it is smaller than the sum of its proper divisors (8228551232).

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

4577112768 is a wasteful number, since it uses less digits than its factorization.

4577112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5732 counting only the distinct ones).

The product of its digits is 658560, while the sum is 48.

The square root of 4577112768 is about 67654.3625200918. The cubic root of 4577112768 is about 1660.3406626538.

The spelling of 4577112768 in words is "four billion, five hundred seventy-seven million, one hundred twelve thousand, seven hundred sixty-eight".