6883067773920 has 768 divisors, whose sum is σ = 24359199621120. Its totient is φ = 1631952691200.

The previous prime is 6883067773873. The next prime is 6883067773927. The reversal of 6883067773920 is 293777603886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883067773927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10167012622 + ... + 10167013298.

It is an arithmetic number, because the mean of its divisors is an integer number (31717707840).

Almost surely, 2^{6883067773920} is an apocalyptic number.

6883067773920 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 6883067773920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12179599810560).

6883067773920 is an abundant number, since it is smaller than the sum of its proper divisors (17476131847200).

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

6883067773920 is a wasteful number, since it uses less digits than its factorization.

6883067773920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 6883067773920 in words is "six trillion, eight hundred eighty-three billion, sixty-seven million, seven hundred seventy-three thousand, nine hundred twenty".