611666611600 has 120 divisors (see below), whose sum is σ = 1603657448640. Its totient is φ = 222350016000.

The previous prime is 611666611597. The next prime is 611666611609. The reversal of 611666611600 is 6116666116.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (611666611609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14150821 + ... + 14193979.

It is an arithmetic number, because the mean of its divisors is an integer number (13363812072).

Almost surely, 2^611666611600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611666611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801828724320).

611666611600 is an abundant number, since it is smaller than the sum of its proper divisors (991990837040).

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

611666611600 is a wasteful number, since it uses less digits than its factorization.

611666611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46409 (or 46398 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

611666611600 divided by its reverse (6116666116) gives a square (100 = 10²).

It can be divided in two parts, 61166 and 6611600, that added together give a palindrome (6672766).

The spelling of 611666611600 in words is "six hundred eleven billion, six hundred sixty-six million, six hundred eleven thousand, six hundred".