468758090013360 has 320 divisors, whose sum is σ = 1737085139435520. Its totient is φ = 102241640033280.

The previous prime is 468758090013319. The next prime is 468758090013407. The reversal of 468758090013360 is 63310090857864.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 468758090013294 and 468758090013303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1713525 + ... + 30666795.

It is an arithmetic number, because the mean of its divisors is an integer number (5428391060736).

Almost surely, 2^{468758090013360} is an apocalyptic number.

468758090013360 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 468758090013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868542569717760).

468758090013360 is an abundant number, since it is smaller than the sum of its proper divisors (1268327049422160).

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

468758090013360 is a wasteful number, since it uses less digits than its factorization.

468758090013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28953736 (or 28953730 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 468758090013360 in words is "four hundred sixty-eight trillion, seven hundred fifty-eight billion, ninety million, thirteen thousand, three hundred sixty".