468782377008 has 160 divisors (see below), whose sum is σ = 1367841738240. Its totient is φ = 137039185920.

The previous prime is 468782376967. The next prime is 468782377027. The reversal of 468782377008 is 800773287864.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18714060 + ... + 18739092.

It is an arithmetic number, because the mean of its divisors is an integer number (8549010864).

Almost surely, 2^468782377008 is an apocalyptic number.

468782377008 is a gapful number since it is divisible by the number (48) 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 468782377008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683920869120).

468782377008 is an abundant number, since it is smaller than the sum of its proper divisors (899059361232).

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

468782377008 is a wasteful number, since it uses less digits than its factorization.

468782377008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26307 (or 26301 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 60.

The spelling of 468782377008 in words is "four hundred sixty-eight billion, seven hundred eighty-two million, three hundred seventy-seven thousand, eight".