6895231920 has 280 divisors, whose sum is σ = 24239627136. Its totient is φ = 1823192064.

The previous prime is 6895231913. The next prime is 6895231963. The reversal of 6895231920 is 291325986.

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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7989409 + ... + 7990271.

Almost surely, 2^6895231920 is an apocalyptic number.

6895231920 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 6895231920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119813568).

6895231920 is an abundant number, since it is smaller than the sum of its proper divisors (17344395216).

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

6895231920 is a wasteful number, since it uses less digits than its factorization.

6895231920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6895231920 is about 83037.5332003546. The cubic root of 6895231920 is about 1903.3396407673.

The spelling of 6895231920 in words is "six billion, eight hundred ninety-five million, two hundred thirty-one thousand, nine hundred twenty".