6549936120 has 768 divisors, whose sum is σ = 29248128000. Its totient is φ = 1230225408.

The previous prime is 6549936109. The next prime is 6549936131. The reversal of 6549936120 is 216399456.

6549936120 is a `hidden beast` number, since 6 + 5 + 499 + 36 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6549936109) and next prime (6549936131).

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 191 ways as a sum of consecutive naturals, for example, 10581171 + ... + 10581789.

It is an arithmetic number, because the mean of its divisors is an integer number (38083500).

Almost surely, 2^6549936120 is an apocalyptic number.

6549936120 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 6549936120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064000).

6549936120 is an abundant number, since it is smaller than the sum of its proper divisors (22698191880).

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

6549936120 is a wasteful number, since it uses less digits than its factorization.

6549936120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6549936120 is about 80931.6756282730. The cubic root of 6549936120 is about 1871.0225488366.

The spelling of 6549936120 in words is "six billion, five hundred forty-nine million, nine hundred thirty-six thousand, one hundred twenty".