468489798000 has 640 divisors, whose sum is σ = 1932827719680. Its totient is φ = 106254720000.

The previous prime is 468489797959. The next prime is 468489798001. The reversal of 468489798000 is 897984864.

468489798000 is a `hidden beast` number, since 4 + 6 + 8 + 489 + 79 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468489798001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49513270 + ... + 49522730.

It is an arithmetic number, because the mean of its divisors is an integer number (3020043312).

Almost surely, 2^468489798000 is an apocalyptic number.

468489798000 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 468489798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966413859840).

468489798000 is an abundant number, since it is smaller than the sum of its proper divisors (1464337921680).

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

468489798000 is a wasteful number, since it uses less digits than its factorization.

468489798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 468489798000 in words is "four hundred sixty-eight billion, four hundred eighty-nine million, seven hundred ninety-eight thousand".