468798955560 has 512 divisors, whose sum is σ = 1775886336000. Its totient is φ = 109048882176.

The previous prime is 468798955523. The next prime is 468798955571. The reversal of 468798955560 is 65559897864.

468798955560 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 9 + 8 + 9 + 55 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118172697 + ... + 118176663.

It is an arithmetic number, because the mean of its divisors is an integer number (3468528000).

Almost surely, 2^468798955560 is an apocalyptic number.

468798955560 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 468798955560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887943168000).

468798955560 is an abundant number, since it is smaller than the sum of its proper divisors (1307087380440).

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

468798955560 is a wasteful number, since it uses less digits than its factorization.

468798955560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 468798955560 in words is "four hundred sixty-eight billion, seven hundred ninety-eight million, nine hundred fifty-five thousand, five hundred sixty".