6602766480 has 120 divisors (see below), whose sum is σ = 22189647480. Its totient is φ = 1759518720.

The previous prime is 6602766433. The next prime is 6602766491. The reversal of 6602766480 is 846672066.

It can be written as a sum of positive squares in 4 ways, for example, as 1195223184 + 5407543296 = 34572^2 + 73536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597056 + ... + 1601184.

It is an arithmetic number, because the mean of its divisors is an integer number (184913729).

Almost surely, 2^6602766480 is an apocalyptic number.

6602766480 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 6602766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094823740).

6602766480 is an abundant number, since it is smaller than the sum of its proper divisors (15586881000).

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

6602766480 is a wasteful number, since it uses less digits than its factorization.

6602766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6602766480 is about 81257.4087699085. The cubic root of 6602766480 is about 1876.0395046562.

The spelling of 6602766480 in words is "six billion, six hundred two million, seven hundred sixty-six thousand, four hundred eighty".