468301526784 has 1728 divisors, whose sum is σ = 1853987143680. Its totient is φ = 115378421760.

The previous prime is 468301526741. The next prime is 468301526789. The reversal of 468301526784 is 487625103864.

It is a happy number.

468301526784 is a `hidden beast` number, since 4 + 6 + 8 + 30 + 1 + 526 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468301526784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468301526789) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6415089372 + ... + 6415089444.

Almost surely, 2^468301526784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468301526784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926993571840).

468301526784 is an abundant number, since it is smaller than the sum of its proper divisors (1385685616896).

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

468301526784 is a wasteful number, since it uses less digits than its factorization.

468301526784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 468301526784 in words is "four hundred sixty-eight billion, three hundred one million, five hundred twenty-six thousand, seven hundred eighty-four".