468641295360 has 528 divisors, whose sum is σ = 1863877017600. Its totient is φ = 106652270592.

The previous prime is 468641295359. The next prime is 468641295379. The reversal of 468641295360 is 63592146864.

468641295360 is a `hidden beast` number, since 4 + 6 + 86 + 4 + 1 + 29 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 468641295297 and 468641295306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77088801 + ... + 77094879.

Almost surely, 2^468641295360 is an apocalyptic number.

468641295360 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 468641295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931938508800).

468641295360 is an abundant number, since it is smaller than the sum of its proper divisors (1395235722240).

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

468641295360 is a wasteful number, since it uses less digits than its factorization.

468641295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 468641295360 in words is "four hundred sixty-eight billion, six hundred forty-one million, two hundred ninety-five thousand, three hundred sixty".