468946920960 has 560 divisors, whose sum is σ = 1926669783456. Its totient is φ = 107184881664.

The previous prime is 468946920907. The next prime is 468946920971. The reversal of 468946920960 is 69029649864.

468946920960 is a `hidden beast` number, since 4 + 6 + 89 + 469 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×468946920960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13045732 + ... + 13081628.

Almost surely, 2^468946920960 is an apocalyptic number.

468946920960 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 468946920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963334891728).

468946920960 is an abundant number, since it is smaller than the sum of its proper divisors (1457722862496).

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

468946920960 is an frugal number, since it uses more digits than its factorization.

468946920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 468946920960 in words is "four hundred sixty-eight billion, nine hundred forty-six million, nine hundred twenty thousand, nine hundred sixty".