4818577920 has 480 divisors, whose sum is σ = 17728115328. Its totient is φ = 1109655552.

The previous prime is 4818577919. The next prime is 4818577957. The reversal of 4818577920 is 297758184.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4818577920² = 46437386342223052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28853677 + ... + 28853843.

Almost surely, 2^4818577920 is an apocalyptic number.

4818577920 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 4818577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864057664).

4818577920 is an abundant number, since it is smaller than the sum of its proper divisors (12909537408).

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

4818577920 is a wasteful number, since it uses less digits than its factorization.

4818577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The square root of 4818577920 is about 69415.9774115441. The cubic root of 4818577920 is about 1689.0388101241.

The spelling of 4818577920 in words is "four billion, eight hundred eighteen million, five hundred seventy-seven thousand, nine hundred twenty".