6546196800 has 1134 divisors, whose sum is σ = 29256799754. Its totient is φ = 1378713600.

The previous prime is 6546196777. The next prime is 6546196823. The reversal of 6546196800 is 86916456.

It is an interprime number because it is at equal distance from previous prime (6546196777) and next prime (6546196823).

It can be written as a sum of positive squares in 9 ways, for example, as 1159811136 + 5386385664 = 34056^2 + 73392^2 .

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 161 ways as a sum of consecutive naturals, for example, 385070392 + ... + 385070408.

Almost surely, 2^6546196800 is an apocalyptic number.

6546196800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6546196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628399877).

6546196800 is an abundant number, since it is smaller than the sum of its proper divisors (22710602954).

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

6546196800 is a wasteful number, since it uses less digits than its factorization.

6546196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6546196800 is about 80908.5706214119. The cubic root of 6546196800 is about 1870.6664291370. Note that the first 3 decimals are identical.

It can be divided in two parts, 65461 and 96800, that added together give a palindrome (162261).

The spelling of 6546196800 in words is "six billion, five hundred forty-six million, one hundred ninety-six thousand, eight hundred".