6484980528 has 400 divisors, whose sum is σ = 21168603456. Its totient is φ = 1903564800.

The previous prime is 6484980511. The next prime is 6484980559. The reversal of 6484980528 is 8250894846.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62960925 + ... + 62961027.

Almost surely, 2^6484980528 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 6484980528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584301728).

6484980528 is an abundant number, since it is smaller than the sum of its proper divisors (14683622928).

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

6484980528 is a wasteful number, since it uses less digits than its factorization.

6484980528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 6484980528 is about 80529.3768012643. The cubic root of 6484980528 is about 1864.8170250330.

The spelling of 6484980528 in words is "six billion, four hundred eighty-four million, nine hundred eighty thousand, five hundred twenty-eight".