6544147680 has 576 divisors, whose sum is σ = 27599201280. Its totient is φ = 1416019968.

The previous prime is 6544147679. The next prime is 6544147697. The reversal of 6544147680 is 867414456.

6544147680 is a `hidden beast` number, since 6 + 544 + 1 + 47 + 68 + 0 = 666.

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, 67465392 + ... + 67465488.

It is an arithmetic number, because the mean of its divisors is an integer number (47915280).

Almost surely, 2^6544147680 is an apocalyptic number.

6544147680 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 6544147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799600640).

6544147680 is an abundant number, since it is smaller than the sum of its proper divisors (21055053600).

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

6544147680 is a wasteful number, since it uses less digits than its factorization.

6544147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6544147680 is about 80895.9064477307. The cubic root of 6544147680 is about 1870.4712206241.

The spelling of 6544147680 in words is "six billion, five hundred forty-four million, one hundred forty-seven thousand, six hundred eighty".