6468524160 has 512 divisors, whose sum is σ = 25216358400. Its totient is φ = 1377533952.

The previous prime is 6468524137. The next prime is 6468524171. The reversal of 6468524160 is 614258646.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18641107 + ... + 18641453.

It is an arithmetic number, because the mean of its divisors is an integer number (49250700).

Almost surely, 2^6468524160 is an apocalyptic number.

6468524160 is a gapful number since it is divisible by the number (60) 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 6468524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608179200).

6468524160 is an abundant number, since it is smaller than the sum of its proper divisors (18747834240).

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

6468524160 is a wasteful number, since it uses less digits than its factorization.

6468524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6468524160 is about 80427.1357192335. The cubic root of 6468524160 is about 1863.2382945124.

The spelling of 6468524160 in words is "six billion, four hundred sixty-eight million, five hundred twenty-four thousand, one hundred sixty".