6923842560 has 528 divisors, whose sum is σ = 25628308992. Its totient is φ = 1725235200.

The previous prime is 6923842547. The next prime is 6923842561. The reversal of 6923842560 is 652483296.

6923842560 is a `hidden beast` number, since 6 + 9 + 2 + 3 + 84 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6923842561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52853695 + ... + 52853825.

It is an arithmetic number, because the mean of its divisors is an integer number (48538464).

Almost surely, 2^6923842560 is an apocalyptic number.

6923842560 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 6923842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814154496).

6923842560 is an abundant number, since it is smaller than the sum of its proper divisors (18704466432).

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

6923842560 is a wasteful number, since it uses less digits than its factorization.

6923842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6923842560 is about 83209.6302118931. The cubic root of 6923842560 is about 1905.9685404957.

The spelling of 6923842560 in words is "six billion, nine hundred twenty-three million, eight hundred forty-two thousand, five hundred sixty".