6544276480 has 352 divisors, whose sum is σ = 19865005056. Its totient is φ = 2015625216.

The previous prime is 6544276471. The next prime is 6544276489. The reversal of 6544276480 is 846724456.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6544276471) and next prime (6544276489).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 6544276480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6544276489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14013207 + ... + 14013673.

Almost surely, 2^6544276480 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 6544276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9932502528).

6544276480 is an abundant number, since it is smaller than the sum of its proper divisors (13320728576).

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

6544276480 is a wasteful number, since it uses less digits than its factorization.

6544276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The square root of 6544276480 is about 80896.7025285951. The cubic root of 6544276480 is about 1870.4834918994.

It can be divided in two parts, 6544 and 276480, that added together give a square (283024 = 532²).

The spelling of 6544276480 in words is "six billion, five hundred forty-four million, two hundred seventy-six thousand, four hundred eighty".