6885300240 has 640 divisors, whose sum is σ = 30478049280. Its totient is φ = 1388648448.

The previous prime is 6885300211. The next prime is 6885300241. The reversal of 6885300240 is 420035886.

6885300240 is a `hidden beast` number, since 6 + 88 + 530 + 0 + 2 + 40 = 666.

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 = 6885300195 and 6885300204.

It is not an unprimeable number, because it can be changed into a prime (6885300241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4520119 + ... + 4521641.

It is an arithmetic number, because the mean of its divisors is an integer number (47621952).

Almost surely, 2^6885300240 is an apocalyptic number.

6885300240 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 6885300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15239024640).

6885300240 is an abundant number, since it is smaller than the sum of its proper divisors (23592749040).

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

6885300240 is a wasteful number, since it uses less digits than its factorization.

6885300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6885300240 is about 82977.7092959308. The cubic root of 6885300240 is about 1902.4253643672.

The spelling of 6885300240 in words is "six billion, eight hundred eighty-five million, three hundred thousand, two hundred forty".