6871136900544 has 1120 divisors, whose sum is σ = 24419220249600. Its totient is φ = 1869882900480.

The previous prime is 6871136900483. The next prime is 6871136900567. The reversal of 6871136900544 is 4450096311786.

6871136900544 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 1 + 3 + 6 + 90 + 0 + 544 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12075811492 + ... + 12075812060.

Almost surely, 2^{6871136900544} is an apocalyptic number.

6871136900544 is a gapful number since it is divisible by the number (64) 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 6871136900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209610124800).

6871136900544 is an abundant number, since it is smaller than the sum of its proper divisors (17548083349056).

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

6871136900544 is a wasteful number, since it uses less digits than its factorization.

6871136900544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 804 counting only the distinct ones).

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

The spelling of 6871136900544 in words is "six trillion, eight hundred seventy-one billion, one hundred thirty-six million, nine hundred thousand, five hundred forty-four".