6610535608320 has 1456 divisors, whose sum is σ = 27832922591232. Its totient is φ = 1474837217280.

The previous prime is 6610535608283. The next prime is 6610535608393. The reversal of 6610535608320 is 238065350166.

6610535608320 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 5 + 3 + 5 + 608 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4493905185 + ... + 4493906655.

Almost surely, 2^{6610535608320} is an apocalyptic number.

6610535608320 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 6610535608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916461295616).

6610535608320 is an abundant number, since it is smaller than the sum of its proper divisors (21222386982912).

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

6610535608320 is an equidigital number, since it uses as much as digits as its factorization.

6610535608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6610535608320 in words is "six trillion, six hundred ten billion, five hundred thirty-five million, six hundred eight thousand, three hundred twenty".