6544676160 has 672 divisors, whose sum is σ = 26361054720. Its totient is φ = 1473638400.

The previous prime is 6544676101. The next prime is 6544676189. The reversal of 6544676160 is 616764456.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49959295 + ... + 49959425.

It is an arithmetic number, because the mean of its divisors is an integer number (39227760).

Almost surely, 2^6544676160 is an apocalyptic number.

6544676160 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 6544676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180527360).

6544676160 is an abundant number, since it is smaller than the sum of its proper divisors (19816378560).

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

6544676160 is a wasteful number, since it uses less digits than its factorization.

6544676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

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

The square root of 6544676160 is about 80899.1728017042. The cubic root of 6544676160 is about 1870.5215699372.

The spelling of 6544676160 in words is "six billion, five hundred forty-four million, six hundred seventy-six thousand, one hundred sixty".