6506661600 has 648 divisors, whose sum is σ = 25253930520. Its totient is φ = 1575075840.

The previous prime is 6506661599. The next prime is 6506661607. The reversal of 6506661600 is 61666056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6506661607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 110282371 + ... + 110282429.

It is an arithmetic number, because the mean of its divisors is an integer number (38972115).

Almost surely, 2^6506661600 is an apocalyptic number.

6506661600 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 6506661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626965260).

6506661600 is an abundant number, since it is smaller than the sum of its proper divisors (18747268920).

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

6506661600 is a wasteful number, since it uses less digits than its factorization.

6506661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6506661600 is about 80663.8803926516. The cubic root of 6506661600 is about 1866.8929119197.

The spelling of 6506661600 in words is "six billion, five hundred six million, six hundred sixty-one thousand, six hundred".