6468181524 has 72 divisors (see below), whose sum is σ = 18734177280. Its totient is φ = 1843273152.

The previous prime is 6468181487. The next prime is 6468181549. The reversal of 6468181524 is 4251818646.

It is a happy number.

6468181524 is a `hidden beast` number, since 6 + 46 + 8 + 1 + 81 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6468181524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65037 + ... + 131019.

Almost surely, 2^6468181524 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 6468181524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367088640).

6468181524 is an abundant number, since it is smaller than the sum of its proper divisors (12265995756).

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

6468181524 is a wasteful number, since it uses less digits than its factorization.

6468181524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66389 (or 66384 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 6468181524 is about 80425.0055890579. The cubic root of 6468181524 is about 1863.2053955196.

The spelling of 6468181524 in words is "six billion, four hundred sixty-eight million, one hundred eighty-one thousand, five hundred twenty-four".