6858267840 has 448 divisors, whose sum is σ = 26130625920. Its totient is φ = 1686896640.

The previous prime is 6858267817. The next prime is 6858267841. The reversal of 6858267840 is 487628586.

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

It is not an unprimeable number, because it can be changed into a prime (6858267841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7784200 + ... + 7785080.

It is an arithmetic number, because the mean of its divisors is an integer number (58327290).

Almost surely, 2^6858267840 is an apocalyptic number.

6858267840 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 6858267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065312960).

6858267840 is an abundant number, since it is smaller than the sum of its proper divisors (19272358080).

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

6858267840 is a wasteful number, since it uses less digits than its factorization.

6858267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 6858267840 is about 82814.6595718415. The cubic root of 6858267840 is about 1899.9323927929.

The spelling of 6858267840 in words is "six billion, eight hundred fifty-eight million, two hundred sixty-seven thousand, eight hundred forty".