6849578808900 has 243 divisors, whose sum is σ = 22449590158359. Its totient is φ = 1746678320640.

The previous prime is 6849578808889. The next prime is 6849578808911. The reversal of 6849578808900 is 98088759486.

The square root of 6849578808900 is 2617170.

It is a perfect power (a square), and thus also a powerful number.

6849578808900 is a `hidden beast` number, since 6 + 8 + 49 + 578 + 8 + 0 + 8 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6849578808889) and next prime (6849578808911).

It can be written as a sum of positive squares in 4 ways, for example, as 1502718029316 + 5346860779584 = 1225854^2 + 2312328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1805845404 + ... + 1805849196.

Almost surely, 2^{6849578808900} is an apocalyptic number.

6849578808900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6849578808900 is the 2617170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849578808900

6849578808900 is an abundant number, since it is smaller than the sum of its proper divisors (15600011349459).

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

6849578808900 is a wasteful number, since it uses less digits than its factorization.

6849578808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 6849578808900 in words is "six trillion, eight hundred forty-nine billion, five hundred seventy-eight million, eight hundred eight thousand, nine hundred".