6394842720 has 288 divisors, whose sum is σ = 26025172992. Its totient is φ = 1398076416.

The previous prime is 6394842703. The next prime is 6394842721. The reversal of 6394842720 is 272484936.

6394842720 is a `hidden beast` number, since 639 + 4 + 8 + 4 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6394842721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218049 + ... + 245631.

It is an arithmetic number, because the mean of its divisors is an integer number (90365184).

Almost surely, 2^6394842720 is an apocalyptic number.

6394842720 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 6394842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012586496).

6394842720 is an abundant number, since it is smaller than the sum of its proper divisors (19630330272).

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

6394842720 is a wasteful number, since it uses less digits than its factorization.

6394842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27634 (or 27623 counting only the distinct ones).

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

The square root of 6394842720 is about 79967.7605038430. The cubic root of 6394842720 is about 1856.1366916518.

The spelling of 6394842720 in words is "six billion, three hundred ninety-four million, eight hundred forty-two thousand, seven hundred twenty".