4567680768 has 576 divisors, whose sum is σ = 16021297152. Its totient is φ = 1124597760.

The previous prime is 4567680763. The next prime is 4567680779. The reversal of 4567680768 is 8670867654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4567680763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86182630 + ... + 86182682.

It is an arithmetic number, because the mean of its divisors is an integer number (27814752).

Almost surely, 2^4567680768 is an apocalyptic number.

4567680768 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 4567680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010648576).

4567680768 is an abundant number, since it is smaller than the sum of its proper divisors (11453616384).

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

4567680768 is a wasteful number, since it uses less digits than its factorization.

4567680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The square root of 4567680768 is about 67584.6193153442. The cubic root of 4567680768 is about 1659.1993971679.

The spelling of 4567680768 in words is "four billion, five hundred sixty-seven million, six hundred eighty thousand, seven hundred sixty-eight".