6349842720 has 576 divisors, whose sum is σ = 25658156160. Its totient is φ = 1469104128.

The previous prime is 6349842701. The next prime is 6349842721. The reversal of 6349842720 is 272489436.

6349842720 is a `hidden beast` number, since 634 + 9 + 8 + 4 + 2 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6349842721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8592111 + ... + 8592849.

It is an arithmetic number, because the mean of its divisors is an integer number (44545410).

Almost surely, 2^6349842720 is an apocalyptic number.

6349842720 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 6349842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829078080).

6349842720 is an abundant number, since it is smaller than the sum of its proper divisors (19308313440).

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

6349842720 is a wasteful number, since it uses less digits than its factorization.

6349842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6349842720 is about 79685.9003839450. The cubic root of 6349842720 is about 1851.7726102278.

The spelling of 6349842720 in words is "six billion, three hundred forty-nine million, eight hundred forty-two thousand, seven hundred twenty".