6875089920 has 352 divisors, whose sum is σ = 25049384640. Its totient is φ = 1787166720.

The previous prime is 6875089909. The next prime is 6875089927. The reversal of 6875089920 is 299805786.

It is a happy number.

It is a super-2 number, since 2×6875089920² = 94533722816171212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6875089927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5667234 + ... + 5668446.

Almost surely, 2^6875089920 is an apocalyptic number.

6875089920 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 6875089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524692320).

6875089920 is an abundant number, since it is smaller than the sum of its proper divisors (18174294720).

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

6875089920 is a wasteful number, since it uses less digits than its factorization.

6875089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 6875089920 is about 82916.1619951141. The cubic root of 6875089920 is about 1901.4845203200.

The spelling of 6875089920 in words is "six billion, eight hundred seventy-five million, eighty-nine thousand, nine hundred twenty".