4609067961600 has 1080 divisors, whose sum is σ = 18829646700480. Its totient is φ = 1106441994240.

The previous prime is 4609067961571. The next prime is 4609067961601. The reversal of 4609067961600 is 61697609064.

4609067961600 is a `hidden beast` number, since 460 + 9 + 0 + 67 + 9 + 61 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4609067961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202683031 + ... + 202705769.

It is an arithmetic number, because the mean of its divisors is an integer number (17434858056).

Almost surely, 2^{4609067961600} is an apocalyptic number.

4609067961600 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 4609067961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414823350240).

4609067961600 is an abundant number, since it is smaller than the sum of its proper divisors (14220578738880).

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

4609067961600 is a wasteful number, since it uses less digits than its factorization.

4609067961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4609067961600 in words is "four trillion, six hundred nine billion, sixty-seven million, nine hundred sixty-one thousand, six hundred".