6742245120 has 288 divisors, whose sum is σ = 23389115904. Its totient is φ = 1645363200.

The previous prime is 6742245091. The next prime is 6742245131. The reversal of 6742245120 is 215422476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6539005 + ... + 6540035.

It is an arithmetic number, because the mean of its divisors is an integer number (81212208).

Almost surely, 2^6742245120 is an apocalyptic number.

6742245120 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 6742245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694557952).

6742245120 is an abundant number, since it is smaller than the sum of its proper divisors (16646870784).

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

6742245120 is a wasteful number, since it uses less digits than its factorization.

6742245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 6742245120 is about 82111.1753660852. The cubic root of 6742245120 is about 1889.1575540544.

Adding to 6742245120 its reverse (215422476), we get a palindrome (6957667596).

The spelling of 6742245120 in words is "six billion, seven hundred forty-two million, two hundred forty-five thousand, one hundred twenty".