468234893427840 has 3840 divisors, whose sum is σ = 2233403225222400. Its totient is φ = 91245699072000.

The previous prime is 468234893427797. The next prime is 468234893427863. The reversal of 468234893427840 is 48724398432864.

468234893427840 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 3 + 489 + 34 + 2 + 78 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 84260370342 + ... + 84260375898.

It is an arithmetic number, because the mean of its divisors is an integer number (581615423235).

Almost surely, 2^{468234893427840} is an apocalyptic number.

468234893427840 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 468234893427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116701612611200).

468234893427840 is an abundant number, since it is smaller than the sum of its proper divisors (1765168331794560).

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

468234893427840 is a wasteful number, since it uses less digits than its factorization.

468234893427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 72.

The spelling of 468234893427840 in words is "four hundred sixty-eight trillion, two hundred thirty-four billion, eight hundred ninety-three million, four hundred twenty-seven thousand, eight hundred forty".