6610656000 has 288 divisors, whose sum is σ = 23650780608. Its totient is φ = 1626931200.

The previous prime is 6610655999. The next prime is 6610656011. The reversal of 6610656000 is 6560166.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1245352 + ... + 1250648.

It is an arithmetic number, because the mean of its divisors is an integer number (82120766).

Almost surely, 2^6610656000 is an apocalyptic number.

6610656000 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 6610656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11825390304).

6610656000 is an abundant number, since it is smaller than the sum of its proper divisors (17040124608).

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

6610656000 is a wasteful number, since it uses less digits than its factorization.

6610656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6610656000 is about 81305.9407423590. The cubic root of 6610656000 is about 1876.7864218756.

The spelling of 6610656000 in words is "six billion, six hundred ten million, six hundred fifty-six thousand".