6612753280 has 128 divisors (see below), whose sum is σ = 18487687680. Its totient is φ = 2214438912.

The previous prime is 6612753269. The next prime is 6612753283. The reversal of 6612753280 is 823572166.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6612753283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175477 + ... + 209803.

It is an arithmetic number, because the mean of its divisors is an integer number (144435060).

Almost surely, 2^6612753280 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 6612753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243843840).

6612753280 is an abundant number, since it is smaller than the sum of its proper divisors (11874934400).

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

6612753280 is a wasteful number, since it uses less digits than its factorization.

6612753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34396 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 6612753280 is about 81318.8371781102. The cubic root of 6612753280 is about 1876.9848757276.

The spelling of 6612753280 in words is "six billion, six hundred twelve million, seven hundred fifty-three thousand, two hundred eighty".