6883871960064 has 176 divisors, whose sum is σ = 20050187746176. Its totient is φ = 2082462105600.

The previous prime is 6883871959973. The next prime is 6883871960113. The reversal of 6883871960064 is 4600691783886.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6883871959977 and 6883871960004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19662384 + ... + 20009424.

Almost surely, 2^{6883871960064} is an apocalyptic number.

6883871960064 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 6883871960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025093873088).

6883871960064 is an abundant number, since it is smaller than the sum of its proper divisors (13166315786112).

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

6883871960064 is a wasteful number, since it uses less digits than its factorization.

6883871960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347662 (or 347644 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

It can be divided in two parts, 688387 and 1960064, that added together give a triangular number (2648451 = T₂₃₀₁).

The spelling of 6883871960064 in words is "six trillion, eight hundred eighty-three billion, eight hundred seventy-one million, nine hundred sixty thousand, sixty-four".