468424362147840 has 1800 divisors, whose sum is σ = 1957860139368672. Its totient is φ = 106830385643520.

The previous prime is 468424362147811. The next prime is 468424362147877. The reversal of 468424362147840 is 48741263424864.

468424362147840 is a `hidden beast` number, since 4 + 6 + 8 + 424 + 3 + 62 + 147 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×468424362147840² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 175900998349 + ... + 175901001011.

Almost surely, 2^{468424362147840} is an apocalyptic number.

468424362147840 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 468424362147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978930069684336).

468424362147840 is an abundant number, since it is smaller than the sum of its proper divisors (1489435777220832).

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

468424362147840 is an equidigital number, since it uses as much as digits as its factorization.

468424362147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 63.

The spelling of 468424362147840 in words is "four hundred sixty-eight trillion, four hundred twenty-four billion, three hundred sixty-two million, one hundred forty-seven thousand, eight hundred forty".