6549983334720 has 672 divisors, whose sum is σ = 26898460767360. Its totient is φ = 1496079728640.

The previous prime is 6549983334707. The next prime is 6549983334749. The reversal of 6549983334720 is 274333899456.

6549983334720 is a `hidden beast` number, since 6 + 5 + 49 + 98 + 3 + 33 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705736480 + ... + 705745760.

It is an arithmetic number, because the mean of its divisors is an integer number (40027471380).

Almost surely, 2^{6549983334720} is an apocalyptic number.

6549983334720 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 6549983334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449230383680).

6549983334720 is an abundant number, since it is smaller than the sum of its proper divisors (20348477432640).

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

6549983334720 is a wasteful number, since it uses less digits than its factorization.

6549983334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 6549983334720 in words is "six trillion, five hundred forty-nine billion, nine hundred eighty-three million, three hundred thirty-four thousand, seven hundred twenty".