6697698201600 has 1872 divisors, whose sum is σ = 27163859169600. Its totient is φ = 1449693020160.

The previous prime is 6697698201563. The next prime is 6697698201647. The reversal of 6697698201600 is 61028967966.

It is a super-2 number, since 2×6697698201600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29247590286 + ... + 29247590514.

Almost surely, 2^{6697698201600} is an apocalyptic number.

6697698201600 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 6697698201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581929584800).

6697698201600 is an abundant number, since it is smaller than the sum of its proper divisors (20466160968000).

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

6697698201600 is a wasteful number, since it uses less digits than its factorization.

6697698201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 6697698201600 in words is "six trillion, six hundred ninety-seven billion, six hundred ninety-eight million, two hundred one thousand, six hundred".