6687201600 has 504 divisors, whose sum is σ = 25647822720. Its totient is φ = 1646346240.

The previous prime is 6687201589. The next prime is 6687201607. The reversal of 6687201600 is 61027866.

It is a happy number.

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 (6687201607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14442969 + ... + 14443431.

Almost surely, 2^6687201600 is an apocalyptic number.

6687201600 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 6687201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823911360).

6687201600 is an abundant number, since it is smaller than the sum of its proper divisors (18960621120).

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

6687201600 is a wasteful number, since it uses less digits than its factorization.

6687201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6687201600 is about 81775.3116777918. The cubic root of 6687201600 is about 1884.0024882653.

The spelling of 6687201600 in words is "six billion, six hundred eighty-seven million, two hundred one thousand, six hundred".