6711843638016 has 864 divisors, whose sum is σ = 23340508079616. Its totient is φ = 1901076480000.

The previous prime is 6711843638011. The next prime is 6711843638021. The reversal of 6711843638016 is 6108363481176.

6711843638016 is a `hidden beast` number, since 6 + 7 + 118 + 436 + 3 + 80 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6711843638011) and next prime (6711843638021).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (6711843638011) 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 95 ways as a sum of consecutive naturals, for example, 1756565386 + ... + 1756569206.

It is an arithmetic number, because the mean of its divisors is an integer number (27014476944).

Almost surely, 2^{6711843638016} is an apocalyptic number.

6711843638016 is a gapful number since it is divisible by the number (66) 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 6711843638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670254039808).

6711843638016 is an abundant number, since it is smaller than the sum of its proper divisors (16628664441600).

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

6711843638016 is a wasteful number, since it uses less digits than its factorization.

6711843638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6711843638016 in words is "six trillion, seven hundred eleven billion, eight hundred forty-three million, six hundred thirty-eight thousand, sixteen".