6610616510652 has 288 divisors, whose sum is σ = 21514912333824. Its totient is φ = 1660927939200.

The previous prime is 6610616510651. The next prime is 6610616510753. The reversal of 6610616510652 is 2560156160166.

6610616510652 is a `hidden beast` number, since 6 + 6 + 10 + 61 + 6 + 510 + 65 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6610616510598 and 6610616510607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6610616510651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211978653 + ... + 212009835.

Almost surely, 2^{6610616510652} is an apocalyptic number.

6610616510652 is a gapful number since it is divisible by the number (62) 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 6610616510652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757456166912).

6610616510652 is an abundant number, since it is smaller than the sum of its proper divisors (14904295823172).

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

6610616510652 is a wasteful number, since it uses less digits than its factorization.

6610616510652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33709 (or 33704 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6610616510652 in words is "six trillion, six hundred ten billion, six hundred sixteen million, five hundred ten thousand, six hundred fifty-two".