4611600000 has 768 divisors, whose sum is σ = 19761235200. Its totient is φ = 1036800000.

The previous prime is 4611599977. The next prime is 4611600031. The reversal of 4611600000 is 61164.

4611600000 is a `hidden beast` number, since 4 + 61 + 1 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75599970 + ... + 75600030.

It is an arithmetic number, because the mean of its divisors is an integer number (25730775).

Almost surely, 2^4611600000 is an apocalyptic number.

4611600000 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 4611600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880617600).

4611600000 is an abundant number, since it is smaller than the sum of its proper divisors (15149635200).

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

4611600000 is an frugal number, since it uses more digits than its factorization.

4611600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4611600000 is about 67908.7623212204. The cubic root of 4611600000 is about 1664.5002964352.

Adding to 4611600000 its reverse (61164), we get a palindrome (4611661164).

The spelling of 4611600000 in words is "four billion, six hundred eleven million, six hundred thousand".