6936828969420 has 960 divisors, whose sum is σ = 26624306903040. Its totient is φ = 1477470855168.

The previous prime is 6936828969401. The next prime is 6936828969491. The reversal of 6936828969420 is 249698286396.

6936828969420 is a `hidden beast` number, since 6 + 9 + 3 + 68 + 2 + 89 + 69 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6874953876 + ... + 6874954884.

It is an arithmetic number, because the mean of its divisors is an integer number (27733653024).

Almost surely, 2^{6936828969420} is an apocalyptic number.

6936828969420 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 6936828969420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312153451520).

6936828969420 is an abundant number, since it is smaller than the sum of its proper divisors (19687477933620).

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

6936828969420 is a wasteful number, since it uses less digits than its factorization.

6936828969420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 6936828969420 in words is "six trillion, nine hundred thirty-six billion, eight hundred twenty-eight million, nine hundred sixty-nine thousand, four hundred twenty".