6546679200 has 360 divisors, whose sum is σ = 24652172160. Its totient is φ = 1688947200.

The previous prime is 6546679189. The next prime is 6546679213. The reversal of 6546679200 is 29766456.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2007171 + ... + 2010429.

It is an arithmetic number, because the mean of its divisors is an integer number (68478256).

Almost surely, 2^6546679200 is an apocalyptic number.

6546679200 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 6546679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326086080).

6546679200 is an abundant number, since it is smaller than the sum of its proper divisors (18105492960).

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

6546679200 is a wasteful number, since it uses less digits than its factorization.

6546679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6546679200 is about 80911.5517092584. The cubic root of 6546679200 is about 1870.7123788361.

The spelling of 6546679200 in words is "six billion, five hundred forty-six million, six hundred seventy-nine thousand, two hundred".