6936054560820 has 480 divisors, whose sum is σ = 28723434727680. Its totient is φ = 1356477788160.

The previous prime is 6936054560801. The next prime is 6936054560891. The reversal of 6936054560820 is 280654506396.

6936054560820 is a `hidden beast` number, since 6 + 9 + 3 + 6 + 0 + 5 + 4 + 5 + 608 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 485166 + ... + 3755994.

It is an arithmetic number, because the mean of its divisors is an integer number (59840489016).

Almost surely, 2^{6936054560820} is an apocalyptic number.

6936054560820 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 6936054560820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14361717363840).

6936054560820 is an abundant number, since it is smaller than the sum of its proper divisors (21787380166860).

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

6936054560820 is a wasteful number, since it uses less digits than its factorization.

6936054560820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270885 (or 3270874 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 6936054560820 in words is "six trillion, nine hundred thirty-six billion, fifty-four million, five hundred sixty thousand, eight hundred twenty".