6852671400960 has 2816 divisors, whose sum is σ = 33021562060800. Its totient is φ = 1304277811200.

The previous prime is 6852671400947. The next prime is 6852671400961. The reversal of 6852671400960 is 690041762586.

6852671400960 is a `hidden beast` number, since 6 + 8 + 526 + 71 + 40 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a junction number, because it is equal to n+sod(n) for n = 6852671400897 and 6852671400906.

It is not an unprimeable number, because it can be changed into a prime (6852671400961) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6269598174 + ... + 6269599266.

Almost surely, 2^{6852671400960} is an apocalyptic number.

6852671400960 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 6852671400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510781030400).

6852671400960 is an abundant number, since it is smaller than the sum of its proper divisors (26168890659840).

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

6852671400960 is a wasteful number, since it uses less digits than its factorization.

6852671400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6852671400960 in words is "six trillion, eight hundred fifty-two billion, six hundred seventy-one million, four hundred thousand, nine hundred sixty".