6609701122560 has 1280 divisors, whose sum is σ = 24655196966400. Its totient is φ = 1676928614400.

The previous prime is 6609701122513. The next prime is 6609701122561. The reversal of 6609701122560 is 652211079066.

6609701122560 is a `hidden beast` number, since 6 + 6 + 0 + 9 + 70 + 1 + 12 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (6609701122561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36517685670 + ... + 36517685850.

It is an arithmetic number, because the mean of its divisors is an integer number (19261872630).

Almost surely, 2^{6609701122560} is an apocalyptic number.

6609701122560 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 6609701122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327598483200).

6609701122560 is an abundant number, since it is smaller than the sum of its proper divisors (18045495843840).

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

6609701122560 is a wasteful number, since it uses less digits than its factorization.

6609701122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 6609701122560 in words is "six trillion, six hundred nine billion, seven hundred one million, one hundred twenty-two thousand, five hundred sixty".