6549984000 has 1080 divisors, whose sum is σ = 29399898528. Its totient is φ = 1418342400.

The previous prime is 6549983969. The next prime is 6549984029. The reversal of 6549984000 is 4899456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 344735991 + ... + 344736009.

Almost surely, 2^6549984000 is an apocalyptic number.

6549984000 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 6549984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699949264).

6549984000 is an abundant number, since it is smaller than the sum of its proper divisors (22849914528).

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

6549984000 is an equidigital number, since it uses as much as digits as its factorization.

6549984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

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

The square root of 6549984000 is about 80931.9714328027. The cubic root of 6549984000 is about 1871.0271078807.

The spelling of 6549984000 in words is "six billion, five hundred forty-nine million, nine hundred eighty-four thousand".