6542277120 has 160 divisors (see below), whose sum is σ = 23238959040. Its totient is φ = 1744588800.

The previous prime is 6542277103. The next prime is 6542277151. The reversal of 6542277120 is 217722456.

It is a happy number.

6542277120 is a `hidden beast` number, since 6 + 542 + 27 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21795 + ... + 116445.

It is an arithmetic number, because the mean of its divisors is an integer number (145243494).

Almost surely, 2^6542277120 is an apocalyptic number.

6542277120 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 6542277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11619479520).

6542277120 is an abundant number, since it is smaller than the sum of its proper divisors (16696681920).

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

6542277120 is an equidigital number, since it uses as much as digits as its factorization.

6542277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94683 (or 94661 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6542277120 is about 80884.3440969883. The cubic root of 6542277120 is about 1870.2929869699.

Adding to 6542277120 its reverse (217722456), we get a palindrome (6759999576).

The spelling of 6542277120 in words is "six billion, five hundred forty-two million, two hundred seventy-seven thousand, one hundred twenty".