467187897742272 has 224 divisors, whose sum is σ = 1570728361305600. Its totient is φ = 133390762592256.

The previous prime is 467187897742217. The next prime is 467187897742273. The reversal of 467187897742272 is 272247798781764.

467187897742272 is a `hidden beast` number, since 4 + 6 + 7 + 187 + 8 + 9 + 7 + 7 + 422 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 467187897742191 and 467187897742200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467187897742273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411828 + ... + 30884300.

It is an arithmetic number, because the mean of its divisors is an integer number (7012180184400).

Almost surely, 2^{467187897742272} is an apocalyptic number.

467187897742272 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 467187897742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785364180652800).

467187897742272 is an abundant number, since it is smaller than the sum of its proper divisors (1103540463563328).

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

467187897742272 is a wasteful number, since it uses less digits than its factorization.

467187897742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26473960 (or 26473944 counting only the distinct ones).

The product of its digits is 7434878976, while the sum is 81.

The spelling of 467187897742272 in words is "four hundred sixty-seven trillion, one hundred eighty-seven billion, eight hundred ninety-seven million, seven hundred forty-two thousand, two hundred seventy-two".