468688896000 has 1088 divisors, whose sum is σ = 1877859459840. Its totient is φ = 114661785600.

The previous prime is 468688895963. The next prime is 468688896029. The reversal of 468688896000 is 698886864.

468688896000 is a `hidden beast` number, since 468 + 6 + 8 + 88 + 96 + 0 + 0 + 0 = 666.

It is a zygodrome in base 8.

It is a congruent number.

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, 2875391919 + ... + 2875392081.

Almost surely, 2^468688896000 is an apocalyptic number.

468688896000 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 468688896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938929729920).

468688896000 is an abundant number, since it is smaller than the sum of its proper divisors (1409170563840).

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

468688896000 is an equidigital number, since it uses as much as digits as its factorization.

468688896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 468688896000 in words is "four hundred sixty-eight billion, six hundred eighty-eight million, eight hundred ninety-six thousand".