467941725888 has 672 divisors, whose sum is σ = 1576038772224. Its totient is φ = 119938351104.

The previous prime is 467941725883. The next prime is 467941725893. The reversal of 467941725888 is 888527149764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467941725883) and next prime (467941725893).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (467941725883) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1476156706 + ... + 1476157022.

It is an arithmetic number, because the mean of its divisors is an integer number (2345295792).

Almost surely, 2^467941725888 is an apocalyptic number.

467941725888 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 467941725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788019386112).

467941725888 is an abundant number, since it is smaller than the sum of its proper divisors (1108097046336).

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

467941725888 is a wasteful number, since it uses less digits than its factorization.

467941725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 506 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 69.

The spelling of 467941725888 in words is "four hundred sixty-seven billion, nine hundred forty-one million, seven hundred twenty-five thousand, eight hundred eighty-eight".