4609423687680 has 1440 divisors, whose sum is σ = 19946075036160. Its totient is φ = 997557534720.

The previous prime is 4609423687601. The next prime is 4609423687709. The reversal of 4609423687680 is 867863249064.

4609423687680 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 423 + 68 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2647571610 + ... + 2647573350.

Almost surely, 2^{4609423687680} is an apocalyptic number.

4609423687680 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 4609423687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973037518080).

4609423687680 is an abundant number, since it is smaller than the sum of its proper divisors (15336651348480).

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

4609423687680 is an equidigital number, since it uses as much as digits as its factorization.

4609423687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4609423687680 in words is "four trillion, six hundred nine billion, four hundred twenty-three million, six hundred eighty-seven thousand, six hundred eighty".