6917201920 has 112 divisors (see below), whose sum is σ = 16781041368. Its totient is φ = 2736783360.

The previous prime is 6917201917. The next prime is 6917202013. The reversal of 6917201920 is 291027196.

It can be written as a sum of positive squares in 4 ways, for example, as 2910818304 + 4006383616 = 53952^2 + 63296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6917201920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3972250 + ... + 3973990.

Almost surely, 2^6917201920 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 6917201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390520684).

6917201920 is an abundant number, since it is smaller than the sum of its proper divisors (9863839448).

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

6917201920 is an equidigital number, since it uses as much as digits as its factorization.

6917201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 6917201920 is about 83169.7175659506. The cubic root of 6917201920 is about 1905.3590090416.

The spelling of 6917201920 in words is "six billion, nine hundred seventeen million, two hundred one thousand, nine hundred twenty".