468605007360 has 960 divisors, whose sum is σ = 2015762411520. Its totient is φ = 98179153920.

The previous prime is 468605007331. The next prime is 468605007373. The reversal of 468605007360 is 63700506864.

468605007360 is a `hidden beast` number, since 4 + 6 + 8 + 605 + 0 + 0 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 94991454 + ... + 94996386.

It is an arithmetic number, because the mean of its divisors is an integer number (2099752512).

Almost surely, 2^468605007360 is an apocalyptic number.

468605007360 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 468605007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007881205760).

468605007360 is an abundant number, since it is smaller than the sum of its proper divisors (1547157404160).

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

468605007360 is a wasteful number, since it uses less digits than its factorization.

468605007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 468605007360 in words is "four hundred sixty-eight billion, six hundred five million, seven thousand, three hundred sixty".