468584645760 has 2048 divisors, whose sum is σ = 2165833728000. Its totient is φ = 92943728640.

The previous prime is 468584645731. The next prime is 468584645783. The reversal of 468584645760 is 67546485864.

It is a happy number.

468584645760 is a `hidden beast` number, since 4 + 6 + 8 + 58 + 4 + 6 + 4 + 576 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 3689642817 + ... + 3689642943.

It is an arithmetic number, because the mean of its divisors is an integer number (1057536000).

Almost surely, 2^468584645760 is an apocalyptic number.

468584645760 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 468584645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082916864000).

468584645760 is an abundant number, since it is smaller than the sum of its proper divisors (1697249082240).

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

468584645760 is a wasteful number, since it uses less digits than its factorization.

468584645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 468584645760 in words is "four hundred sixty-eight billion, five hundred eighty-four million, six hundred forty-five thousand, seven hundred sixty".