6882876005040 has 2400 divisors, whose sum is σ = 30969177845760. Its totient is φ = 1382312853504.

The previous prime is 6882876005021. The next prime is 6882876005101. The reversal of 6882876005040 is 405006782886.

6882876005040 is a `hidden beast` number, since 6 + 8 + 8 + 28 + 7 + 600 + 5 + 0 + 4 + 0 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 19172356381 + ... + 19172356739.

Almost surely, 2^{6882876005040} is an apocalyptic number.

6882876005040 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 6882876005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484588922880).

6882876005040 is an abundant number, since it is smaller than the sum of its proper divisors (24086301840720).

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

6882876005040 is a wasteful number, since it uses less digits than its factorization.

6882876005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 6882876005040 in words is "six trillion, eight hundred eighty-two billion, eight hundred seventy-six million, five thousand, forty".