4786560000 has 440 divisors, whose sum is σ = 17777621840. Its totient is φ = 1271808000.

The previous prime is 4786559977. The next prime is 4786560013. The reversal of 4786560000 is 656874.

It is a happy number.

4786560000 is a `hidden beast` number, since 47 + 8 + 6 + 5 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×4786560000² = 45822313267200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279862 + ... + 17280138.

It is an arithmetic number, because the mean of its divisors is an integer number (40403686).

Almost surely, 2^4786560000 is an apocalyptic number.

4786560000 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 4786560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888810920).

4786560000 is an abundant number, since it is smaller than the sum of its proper divisors (12991061840).

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

4786560000 is an equidigital number, since it uses as much as digits as its factorization.

4786560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4786560000 is about 69184.9694659180. The cubic root of 4786560000 is about 1685.2894512244.

The spelling of 4786560000 in words is "four billion, seven hundred eighty-six million, five hundred sixty thousand".