6858615456 has 864 divisors, whose sum is σ = 27588532608. Its totient is φ = 1589575680.

The previous prime is 6858615451. The next prime is 6858615499. The reversal of 6858615456 is 6545168586.

6858615456 is a `hidden beast` number, since 6 + 8 + 586 + 1 + 5 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (6858615451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60695656 + ... + 60695768.

It is an arithmetic number, because the mean of its divisors is an integer number (31931172).

Almost surely, 2^6858615456 is an apocalyptic number.

6858615456 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 6858615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794266304).

6858615456 is an abundant number, since it is smaller than the sum of its proper divisors (20729917152).

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

6858615456 is a wasteful number, since it uses less digits than its factorization.

6858615456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 176 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 6858615456 is about 82816.7583041017. The cubic root of 6858615456 is about 1899.9644920419.

The spelling of 6858615456 in words is "six billion, eight hundred fifty-eight million, six hundred fifteen thousand, four hundred fifty-six".