6858219456 has 280 divisors, whose sum is σ = 22376318976. Its totient is φ = 2059706880.

The previous prime is 6858219443. The next prime is 6858219457. The reversal of 6858219456 is 6549128586.

6858219456 is a `hidden beast` number, since 6 + 8 + 582 + 1 + 9 + 4 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6858219457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7241575 + ... + 7242521.

Almost surely, 2^6858219456 is an apocalyptic number.

6858219456 is a gapful number since it is divisible by the number (66) 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 6858219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188159488).

6858219456 is an abundant number, since it is smaller than the sum of its proper divisors (15518099520).

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

6858219456 is a wasteful number, since it uses less digits than its factorization.

6858219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1090 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 6858219456 is about 82814.3674491329. The cubic root of 6858219456 is about 1899.9279248744.

The spelling of 6858219456 in words is "six billion, eight hundred fifty-eight million, two hundred nineteen thousand, four hundred fifty-six".