468544849920 has 1920 divisors, whose sum is σ = 2096015201280. Its totient is φ = 97674854400.

The previous prime is 468544849919. The next prime is 468544849931. The reversal of 468544849920 is 29948445864.

468544849920 is a `hidden beast` number, since 4 + 6 + 8 + 544 + 84 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4639057870 + ... + 4639057970.

It is an arithmetic number, because the mean of its divisors is an integer number (1091674584).

Almost surely, 2^468544849920 is an apocalyptic number.

468544849920 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 468544849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048007600640).

468544849920 is an abundant number, since it is smaller than the sum of its proper divisors (1627470351360).

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

468544849920 is a wasteful number, since it uses less digits than its factorization.

468544849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 468544849920 in words is "four hundred sixty-eight billion, five hundred forty-four million, eight hundred forty-nine thousand, nine hundred twenty".