6549379200 has 1536 divisors, whose sum is σ = 31872960000. Its totient is φ = 1300561920.

The previous prime is 6549379153. The next prime is 6549379201. The reversal of 6549379200 is 29739456.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6549379201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385257592 + ... + 385257608.

It is an arithmetic number, because the mean of its divisors is an integer number (20750625).

Almost surely, 2^6549379200 is an apocalyptic number.

6549379200 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 6549379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

6549379200 is an abundant number, since it is smaller than the sum of its proper divisors (25323580800).

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

6549379200 is a wasteful number, since it uses less digits than its factorization.

6549379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6549379200 is about 80928.2348751040. The cubic root of 6549379200 is about 1870.9695183239.

The spelling of 6549379200 in words is "six billion, five hundred forty-nine million, three hundred seventy-nine thousand, two hundred".