468298560723840 has 8064 divisors, whose sum is σ = 2284813277429760. Its totient is φ = 91255552819200.

The previous prime is 468298560723769. The next prime is 468298560723841. The reversal of 468298560723840 is 48327065892864.

468298560723840 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 9 + 8 + 5 + 607 + 2 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468298560723841) by changing a digit.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 3687390241857 + ... + 3687390241983.

It is an arithmetic number, because the mean of its divisors is an integer number (283334979840).

Almost surely, 2^{468298560723840} is an apocalyptic number.

468298560723840 is a gapful number since it is divisible by the number (40) 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 468298560723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142406638714880).

468298560723840 is an abundant number, since it is smaller than the sum of its proper divisors (1816514716705920).

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

468298560723840 is a wasteful number, since it uses less digits than its factorization.

468298560723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 468298560723840 in words is "four hundred sixty-eight trillion, two hundred ninety-eight billion, five hundred sixty million, seven hundred twenty-three thousand, eight hundred forty".