6736665600 has 396 divisors, whose sum is σ = 27572827984. Its totient is φ = 1539440640.

The previous prime is 6736665589. The next prime is 6736665623. The reversal of 6736665600 is 65666376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 1610712 + ... + 1614888.

Almost surely, 2^6736665600 is an apocalyptic number.

6736665600 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 6736665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786413992).

6736665600 is an abundant number, since it is smaller than the sum of its proper divisors (20836162384).

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

6736665600 is a wasteful number, since it uses less digits than its factorization.

6736665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6736665600 is about 82077.1929344565. The cubic root of 6736665600 is about 1888.6362884564.

The spelling of 6736665600 in words is "six billion, seven hundred thirty-six million, six hundred sixty-five thousand, six hundred".