6611600640 has 144 divisors (see below), whose sum is σ = 21797346816. Its totient is φ = 1706188800.

The previous prime is 6611600623. The next prime is 6611600647. The reversal of 6611600640 is 460061166.

It is a super-3 number, since 3×6611600640³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6611600598 and 6611600607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6611600647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91270 + ... + 146810.

It is an arithmetic number, because the mean of its divisors is an integer number (151370464).

Almost surely, 2^6611600640 is an apocalyptic number.

6611600640 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 6611600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898673408).

6611600640 is an abundant number, since it is smaller than the sum of its proper divisors (15185746176).

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

6611600640 is a wasteful number, since it uses less digits than its factorization.

6611600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55596 (or 55582 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6611600640 is about 81311.7497044554. The cubic root of 6611600640 is about 1876.8758130588.

The spelling of 6611600640 in words is "six billion, six hundred eleven million, six hundred thousand, six hundred forty".