6698649600 has 216 divisors, whose sum is σ = 23991843330. Its totient is φ = 1786183680.

The previous prime is 6698649589. The next prime is 6698649613. The reversal of 6698649600 is 69468966.

It is a happy number.

6698649600 is a `hidden beast` number, since 66 + 98 + 6 + 496 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4100097024 + 2598552576 = 64032^2 + 50976^2 .

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 17 ways as a sum of consecutive naturals, for example, 453532 + ... + 468068.

Almost surely, 2^6698649600 is an apocalyptic number.

6698649600 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 6698649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995921665).

6698649600 is an abundant number, since it is smaller than the sum of its proper divisors (17293193730).

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

6698649600 is a wasteful number, since it uses less digits than its factorization.

6698649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575 (or 14547 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 6698649600 is about 81845.2784221546. The cubic root of 6698649600 is about 1885.0769668400.

The spelling of 6698649600 in words is "six billion, six hundred ninety-eight million, six hundred forty-nine thousand, six hundred".