468976679864 has 128 divisors (see below), whose sum is σ = 1113818065920. Its totient is φ = 179821824000.

The previous prime is 468976679863. The next prime is 468976679893.

468976679864 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468976679861) 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 31 ways as a sum of consecutive naturals, for example, 10367504 + ... + 10412640.

It is an arithmetic number, because the mean of its divisors is an integer number (8701703640).

Almost surely, 2^468976679864 is an apocalyptic number.

468976679864 is a gapful number since it is divisible by the number (44) 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 468976679864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556909032960).

468976679864 is an abundant number, since it is smaller than the sum of its proper divisors (644841386056).

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

468976679864 is a wasteful number, since it uses less digits than its factorization.

468976679864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45429 (or 45425 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 80.

The spelling of 468976679864 in words is "four hundred sixty-eight billion, nine hundred seventy-six million, six hundred seventy-nine thousand, eight hundred sixty-four".