4509677880 has 192 divisors, whose sum is σ = 15178475520. Its totient is φ = 1160006400.

The previous prime is 4509677867. The next prime is 4509677881. The reversal of 4509677880 is 887769054.

4509677880 is a `hidden beast` number, since 4 + 509 + 67 + 78 + 8 + 0 = 666.

It is a super-2 number, since 2×4509677880² = 40674389162722588800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4509677881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479149 + ... + 5479971.

It is an arithmetic number, because the mean of its divisors is an integer number (79054560).

Almost surely, 2^4509677880 is an apocalyptic number.

4509677880 is a gapful number since it is divisible by the number (40) 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 4509677880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589237760).

4509677880 is an abundant number, since it is smaller than the sum of its proper divisors (10668797640).

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

4509677880 is a wasteful number, since it uses less digits than its factorization.

4509677880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4509677880 is about 67154.1352412493. The cubic root of 4509677880 is about 1652.1463198045.

The spelling of 4509677880 in words is "four billion, five hundred nine million, six hundred seventy-seven thousand, eight hundred eighty".