6787223352900 has 189 divisors, whose sum is σ = 22084599113031. Its totient is φ = 1809738650880.

The previous prime is 6787223352883. The next prime is 6787223352929. The reversal of 6787223352900 is 92533227876.

The square root of 6787223352900 is 2605230.

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

6787223352900 is a `hidden beast` number, since 6 + 7 + 87 + 2 + 2 + 33 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2130017653764 + 4657205699136 = 1459458^2 + 2158056^2 .

It is a super-2 number, since 2×6787223352900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 62 ways as a sum of consecutive naturals, for example, 703407276 + ... + 703416924.

Almost surely, 2^{6787223352900} is an apocalyptic number.

6787223352900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6787223352900 is the 2605230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6787223352900

6787223352900 is an abundant number, since it is smaller than the sum of its proper divisors (15297375760131).

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

6787223352900 is an frugal number, since it uses more digits than its factorization.

6787223352900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19330 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 6787223352900 in words is "six trillion, seven hundred eighty-seven billion, two hundred twenty-three million, three hundred fifty-two thousand, nine hundred".