6811360920 has 768 divisors, whose sum is σ = 29688422400. Its totient is φ = 1313832960.

The previous prime is 6811360891. The next prime is 6811360943. The reversal of 6811360920 is 290631186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19295464 + ... + 19295816.

It is an arithmetic number, because the mean of its divisors is an integer number (38656800).

Almost surely, 2^6811360920 is an apocalyptic number.

6811360920 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 6811360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844211200).

6811360920 is an abundant number, since it is smaller than the sum of its proper divisors (22877061480).

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

6811360920 is a wasteful number, since it uses less digits than its factorization.

6811360920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6811360920 is about 82530.9694599548. The cubic root of 6811360920 is about 1895.5909695547.

The spelling of 6811360920 in words is "six billion, eight hundred eleven million, three hundred sixty thousand, nine hundred twenty".