6827880570336 has 288 divisors, whose sum is σ = 23502122542080. Its totient is φ = 1909315431936.

The previous prime is 6827880570323. The next prime is 6827880570337. The reversal of 6827880570336 is 6330750887286.

It is a happy number.

6827880570336 is a `hidden beast` number, since 6 + 8 + 27 + 8 + 8 + 0 + 570 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6827880570337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223850 + ... + 3892758.

It is an arithmetic number, because the mean of its divisors is an integer number (81604592160).

Almost surely, 2^{6827880570336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6827880570336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751061271040).

6827880570336 is an abundant number, since it is smaller than the sum of its proper divisors (16674241971744).

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

6827880570336 is a wasteful number, since it uses less digits than its factorization.

6827880570336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668988 (or 2668968 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 6827880570336 in words is "six trillion, eight hundred twenty-seven billion, eight hundred eighty million, five hundred seventy thousand, three hundred thirty-six".