6783784884900 has 243 divisors, whose sum is σ = 22592184430179. Its totient is φ = 1702263605760.

The previous prime is 6783784884887. The next prime is 6783784884991. The reversal of 6783784884900 is 94884873876.

The square root of 6783784884900 is 2604570.

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

6783784884900 is a `hidden beast` number, since 6 + 78 + 3 + 78 + 488 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158679535716 + 6625105349184 = 398346^2 + 2573928^2 .

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, 1328328147 + ... + 1328333253.

Almost surely, 2^{6783784884900} is an apocalyptic number.

6783784884900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6783784884900 is the 2604570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6783784884900

6783784884900 is an abundant number, since it is smaller than the sum of its proper divisors (15808399545279).

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

6783784884900 is a wasteful number, since it uses less digits than its factorization.

6783784884900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 6783784884900 in words is "six trillion, seven hundred eighty-three billion, seven hundred eighty-four million, eight hundred eighty-four thousand, nine hundred".