6884739671040 has 1056 divisors, whose sum is σ = 29900511313920. Its totient is φ = 1422965145600.

The previous prime is 6884739670999. The next prime is 6884739671053. The reversal of 6884739671040 is 401769374886.

6884739671040 is a `hidden beast` number, since 6 + 8 + 8 + 473 + 96 + 71 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677693481 + ... + 677703639.

Almost surely, 2^{6884739671040} is an apocalyptic number.

6884739671040 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 6884739671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950255656960).

6884739671040 is an abundant number, since it is smaller than the sum of its proper divisors (23015771642880).

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

6884739671040 is a wasteful number, since it uses less digits than its factorization.

6884739671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 6884739671040 in words is "six trillion, eight hundred eighty-four billion, seven hundred thirty-nine million, six hundred seventy-one thousand, forty".