6857675661312 has 896 divisors, whose sum is σ = 24194204697600. Its totient is φ = 1878160048128.

The previous prime is 6857675661289. The next prime is 6857675661367. The reversal of 6857675661312 is 2131665767586.

6857675661312 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 6 + 7 + 5 + 6 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×6857675661312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6857675661312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7318756908 + ... + 7318757844.

It is an arithmetic number, because the mean of its divisors is an integer number (27002460600).

Almost surely, 2^{6857675661312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6857675661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097102348800).

6857675661312 is an abundant number, since it is smaller than the sum of its proper divisors (17336529036288).

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

6857675661312 is a wasteful number, since it uses less digits than its factorization.

6857675661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1141 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 6857675661312 in words is "six trillion, eight hundred fifty-seven billion, six hundred seventy-five million, six hundred sixty-one thousand, three hundred twelve".