6242910720 has 240 divisors, whose sum is σ = 20429817408. Its totient is φ = 1625989120.

The previous prime is 6242910719. The next prime is 6242910767. The reversal of 6242910720 is 270192426.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58344907 + ... + 58345013.

Almost surely, 2^6242910720 is an apocalyptic number.

6242910720 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 6242910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214908704).

6242910720 is an abundant number, since it is smaller than the sum of its proper divisors (14186906688).

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

6242910720 is an equidigital number, since it uses as much as digits as its factorization.

6242910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 6242910720 is about 79012.0922390997. The cubic root of 6242910720 is about 1841.3190290054.

The spelling of 6242910720 in words is "six billion, two hundred forty-two million, nine hundred ten thousand, seven hundred twenty".