6711672057984 has 320 divisors, whose sum is σ = 20877379649280. Its totient is φ = 2136347136000.

The previous prime is 6711672057977. The next prime is 6711672057989. The reversal of 6711672057984 is 4897502761176.

It is not an unprimeable number, because it can be changed into a prime (6711672057989) 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 39 ways as a sum of consecutive naturals, for example, 143293449 + ... + 143340279.

It is an arithmetic number, because the mean of its divisors is an integer number (65241811404).

Almost surely, 2^{6711672057984} is an apocalyptic number.

6711672057984 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 6711672057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438689824640).

6711672057984 is an abundant number, since it is smaller than the sum of its proper divisors (14165707591296).

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

6711672057984 is a wasteful number, since it uses less digits than its factorization.

6711672057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47481 (or 47460 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 6711672057984 in words is "six trillion, seven hundred eleven billion, six hundred seventy-two million, fifty-seven thousand, nine hundred eighty-four".