6928948801800 has 576 divisors, whose sum is σ = 24665921280000. Its totient is φ = 1807125914880.

The previous prime is 6928948801781. The next prime is 6928948801807. The reversal of 6928948801800 is 81088498296.

6928948801800 is a `hidden beast` number, since 69 + 2 + 89 + 488 + 0 + 18 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6928948801807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570606529 + ... + 570618671.

It is an arithmetic number, because the mean of its divisors is an integer number (42822780000).

Almost surely, 2^{6928948801800} is an apocalyptic number.

6928948801800 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 6928948801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332960640000).

6928948801800 is an abundant number, since it is smaller than the sum of its proper divisors (17736972478200).

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

6928948801800 is a wasteful number, since it uses less digits than its factorization.

6928948801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 6928948801800 in words is "six trillion, nine hundred twenty-eight billion, nine hundred forty-eight million, eight hundred one thousand, eight hundred".