6857815536 has 320 divisors, whose sum is σ = 23878471680. Its totient is φ = 1855872000.

The previous prime is 6857815519. The next prime is 6857815541. The reversal of 6857815536 is 6355187586.

6857815536 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 81 + 553 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913266 + ... + 1916846.

It is an arithmetic number, because the mean of its divisors is an integer number (74620224).

Almost surely, 2^6857815536 is an apocalyptic number.

6857815536 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 6857815536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939235840).

6857815536 is an abundant number, since it is smaller than the sum of its proper divisors (17020656144).

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

6857815536 is a wasteful number, since it uses less digits than its factorization.

6857815536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3641 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 6857815536 is about 82811.9287059540. The cubic root of 6857815536 is about 1899.8906249135.

The spelling of 6857815536 in words is "six billion, eight hundred fifty-seven million, eight hundred fifteen thousand, five hundred thirty-six".