468801609936 has 320 divisors, whose sum is σ = 1411576320000. Its totient is φ = 132577689600.

The previous prime is 468801609931. The next prime is 468801609937. The reversal of 468801609936 is 639906108864.

It is a self number, because there is not a number n which added to its sum of digits gives 468801609936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468801609931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234517065 + ... + 234519063.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176000).

Almost surely, 2^468801609936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468801609936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705788160000).

468801609936 is an abundant number, since it is smaller than the sum of its proper divisors (942774710064).

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

468801609936 is a wasteful number, since it uses less digits than its factorization.

468801609936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 468801609936 in words is "four hundred sixty-eight billion, eight hundred one million, six hundred nine thousand, nine hundred thirty-six".