6858894240 has 768 divisors, whose sum is σ = 27799511040. Its totient is φ = 1564323840.

The previous prime is 6858894233. The next prime is 6858894253. The reversal of 6858894240 is 424988586.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82637239 + ... + 82637321.

It is an arithmetic number, because the mean of its divisors is an integer number (36197280).

Almost surely, 2^6858894240 is an apocalyptic number.

6858894240 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 6858894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

6858894240 is an abundant number, since it is smaller than the sum of its proper divisors (20940616800).

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

6858894240 is a wasteful number, since it uses less digits than its factorization.

6858894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 6858894240 is about 82818.4414246006. The cubic root of 6858894240 is about 1899.9902344835.

The spelling of 6858894240 in words is "six billion, eight hundred fifty-eight million, eight hundred ninety-four thousand, two hundred forty".