468068926320 has 200 divisors, whose sum is σ = 1626211540800. Its totient is φ = 124777013760.

The previous prime is 468068926271. The next prime is 468068926327. The reversal of 468068926320 is 23629860864.

468068926320 is a `hidden beast` number, since 468 + 0 + 68 + 92 + 6 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468068926327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22935481 + ... + 22955879.

It is an arithmetic number, because the mean of its divisors is an integer number (8131057704).

Almost surely, 2^468068926320 is an apocalyptic number.

468068926320 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 468068926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813105770400).

468068926320 is an abundant number, since it is smaller than the sum of its proper divisors (1158142614480).

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

468068926320 is a wasteful number, since it uses less digits than its factorization.

468068926320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23965 (or 23950 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 468068926320 in words is "four hundred sixty-eight billion, sixty-eight million, nine hundred twenty-six thousand, three hundred twenty".