468088209792 has 576 divisors, whose sum is σ = 1746443041200. Its totient is φ = 119242948608.

The previous prime is 468088209791. The next prime is 468088209793. The reversal of 468088209792 is 297902880864.

468088209792 is a `hidden beast` number, since 468 + 0 + 8 + 82 + 0 + 9 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (468088209791) and next prime (468088209793).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468088209791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18219868 + ... + 18245540.

Almost surely, 2^468088209792 is an apocalyptic number.

468088209792 is a gapful number since it is divisible by the number (42) 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 468088209792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873221520600).

468088209792 is an abundant number, since it is smaller than the sum of its proper divisors (1278354831408).

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

468088209792 is a wasteful number, since it uses less digits than its factorization.

468088209792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25743 (or 25721 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 468088209792 in words is "four hundred sixty-eight billion, eighty-eight million, two hundred nine thousand, seven hundred ninety-two".