6468053760 has 216 divisors, whose sum is σ = 25576081440. Its totient is φ = 1478393856.

The previous prime is 6468053759. The next prime is 6468053857. The reversal of 6468053760 is 673508646.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40536 + ... + 120744.

Almost surely, 2^6468053760 is an apocalyptic number.

6468053760 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 6468053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788040720).

6468053760 is an abundant number, since it is smaller than the sum of its proper divisors (19108027680).

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

6468053760 is a wasteful number, since it uses less digits than its factorization.

6468053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80243 (or 80226 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6468053760 is about 80424.2112799373. The cubic root of 6468053760 is about 1863.1931276645.

The spelling of 6468053760 in words is "six billion, four hundred sixty-eight million, fifty-three thousand, seven hundred sixty".