6849300240 has 240 divisors, whose sum is σ = 23565634560. Its totient is φ = 1782144000.

The previous prime is 6849300179. The next prime is 6849300257. The reversal of 6849300240 is 420039486.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6849300195 and 6849300204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9119865 + ... + 9120615.

It is an arithmetic number, because the mean of its divisors is an integer number (98190144).

Almost surely, 2^6849300240 is an apocalyptic number.

6849300240 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 6849300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782817280).

6849300240 is an abundant number, since it is smaller than the sum of its proper divisors (16716334320).

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

6849300240 is a wasteful number, since it uses less digits than its factorization.

6849300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6849300240 is about 82760.4992735061. The cubic root of 6849300240 is about 1899.1039394321.

The spelling of 6849300240 in words is "six billion, eight hundred forty-nine million, three hundred thousand, two hundred forty".