6477686716900 has 243 divisors, whose sum is σ = 16558734288411. Its totient is φ = 2193128340480.

The previous prime is 6477686716841. The next prime is 6477686716901. The reversal of 6477686716900 is 96176867746.

The square root of 6477686716900 is 2545130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 354675038116 + 6123011678784 = 595546^2 + 2474472^2 .

It is a super-2 number, since 2×6477686716900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6477686716901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18350387124 + ... + 18350387476.

Almost surely, 2^{6477686716900} is an apocalyptic number.

6477686716900 is the 2545130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6477686716900

6477686716900 is an abundant number, since it is smaller than the sum of its proper divisors (10081047571511).

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

6477686716900 is a wasteful number, since it uses less digits than its factorization.

6477686716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 6477686716900 in words is "six trillion, four hundred seventy-seven billion, six hundred eighty-six million, seven hundred sixteen thousand, nine hundred".