6869041920 has 288 divisors, whose sum is σ = 26252318400. Its totient is φ = 1690730496.

The previous prime is 6869041919. The next prime is 6869041943. The reversal of 6869041920 is 291409686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 441636 + ... + 456924.

Almost surely, 2^6869041920 is an apocalyptic number.

6869041920 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 6869041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126159200).

6869041920 is an abundant number, since it is smaller than the sum of its proper divisors (19383276480).

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

6869041920 is a wasteful number, since it uses less digits than its factorization.

6869041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15332 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6869041920 is about 82879.6833970787. The cubic root of 6869041920 is about 1900.9267796267.

The spelling of 6869041920 in words is "six billion, eight hundred sixty-nine million, forty-one thousand, nine hundred twenty".