6610621942080 has 1008 divisors, whose sum is σ = 26300768785200. Its totient is φ = 1509755977728.

The previous prime is 6610621942021. The next prime is 6610621942081. The reversal of 6610621942080 is 802491260166.

6610621942080 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 6 + 219 + 420 + 8 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2561254553664 + 4049367388416 = 1600392^2 + 2012304^2 .

It is a super-2 number, since 2×6610621942080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6610621942081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3391800946 + ... + 3391802894.

It is an arithmetic number, because the mean of its divisors is an integer number (26092032525).

Almost surely, 2^{6610621942080} is an apocalyptic number.

6610621942080 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 6610621942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150384392600).

6610621942080 is an abundant number, since it is smaller than the sum of its proper divisors (19690146843120).

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

6610621942080 is a wasteful number, since it uses less digits than its factorization.

6610621942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6610621942080 in words is "six trillion, six hundred ten billion, six hundred twenty-one million, nine hundred forty-two thousand, eighty".