4689561600 has 216 divisors, whose sum is σ = 16796600730. Its totient is φ = 1250426880.

The previous prime is 4689561593. The next prime is 4689561631. The reversal of 4689561600 is 61659864.

4689561600 is a `hidden beast` number, since 4 + 6 + 89 + 561 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3786679296 + 902882304 = 61536^2 + 30048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 455712 + ... + 465888.

Almost surely, 2^4689561600 is an apocalyptic number.

4689561600 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 4689561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398300365).

4689561600 is an abundant number, since it is smaller than the sum of its proper divisors (12107039130).

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

4689561600 is a wasteful number, since it uses less digits than its factorization.

4689561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4689561600 is about 68480.3738307553. The cubic root of 4689561600 is about 1673.8276908841.

The spelling of 4689561600 in words is "four billion, six hundred eighty-nine million, five hundred sixty-one thousand, six hundred".