468116743680 has 720 divisors, whose sum is σ = 1735350336720. Its totient is φ = 116594049024.

The previous prime is 468116743643. The next prime is 468116743693. The reversal of 468116743680 is 86347611864.

468116743680 is a `hidden beast` number, since 4 + 68 + 11 + 67 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1524810087 + ... + 1524810393.

It is an arithmetic number, because the mean of its divisors is an integer number (2410208801).

Almost surely, 2^468116743680 is an apocalyptic number.

468116743680 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 468116743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867675168360).

468116743680 is an abundant number, since it is smaller than the sum of its proper divisors (1267233593040).

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

468116743680 is a wasteful number, since it uses less digits than its factorization.

468116743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 468116743680 in words is "four hundred sixty-eight billion, one hundred sixteen million, seven hundred forty-three thousand, six hundred eighty".