6546216690 has 480 divisors, whose sum is σ = 21092536080. Its totient is φ = 1449197568.

The previous prime is 6546216689. The next prime is 6546216731. The reversal of 6546216690 is 966126456.

6546216690 is a `hidden beast` number, since 6 + 546 + 2 + 16 + 6 + 90 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 676052001 + 5870164689 = 26001^2 + 76617^2 .

It is a super-2 number, since 2×6546216690² = 85705905904869112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67486722 + ... + 67486818.

Almost surely, 2^6546216690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6546216690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546268040).

6546216690 is an abundant number, since it is smaller than the sum of its proper divisors (14546319390).

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

6546216690 is a wasteful number, since it uses less digits than its factorization.

6546216690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6546216690 is about 80908.6935378393. The cubic root of 6546216690 is about 1870.6683237494.

The spelling of 6546216690 in words is "six billion, five hundred forty-six million, two hundred sixteen thousand, six hundred ninety".