6895113984000 has 3840 divisors, whose sum is σ = 31017828441600. Its totient is φ = 1504935936000.

The previous prime is 6895113983977. The next prime is 6895113984007. The reversal of 6895113984000 is 4893115986.

6895113984000 is a `hidden beast` number, since 6 + 89 + 511 + 3 + 9 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (6895113984007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 160351487979 + ... + 160351488021.

It is an arithmetic number, because the mean of its divisors is an integer number (8077559490).

Almost surely, 2^{6895113984000} is an apocalyptic number.

6895113984000 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 6895113984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508914220800).

6895113984000 is an abundant number, since it is smaller than the sum of its proper divisors (24122714457600).

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

6895113984000 is a wasteful number, since it uses less digits than its factorization.

6895113984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 68951 and 13984000, that added together give a triangular number (14052951 = T₅₃₀₁).

The spelling of 6895113984000 in words is "six trillion, eight hundred ninety-five billion, one hundred thirteen million, nine hundred eighty-four thousand".