468369379500 has 192 divisors, whose sum is σ = 1489138560000. Its totient is φ = 113448192000.

The previous prime is 468369379477. The next prime is 468369379529. The reversal of 468369379500 is 5973963864.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20597137 + ... + 20619863.

It is an arithmetic number, because the mean of its divisors is an integer number (7755930000).

Almost surely, 2^468369379500 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 468369379500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744569280000).

468369379500 is an abundant number, since it is smaller than the sum of its proper divisors (1020769180500).

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

468369379500 is a wasteful number, since it uses less digits than its factorization.

468369379500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24009 (or 23997 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 468369379500 in words is "four hundred sixty-eight billion, three hundred sixty-nine million, three hundred seventy-nine thousand, five hundred".