6882613920 has 576 divisors, whose sum is σ = 29482113024. Its totient is φ = 1423319040.

The previous prime is 6882613901. The next prime is 6882613937. The reversal of 6882613920 is 293162886.

6882613920 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 613 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6944625 + ... + 6945615.

It is an arithmetic number, because the mean of its divisors is an integer number (51184224).

Almost surely, 2^6882613920 is an apocalyptic number.

6882613920 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 6882613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741056512).

6882613920 is an abundant number, since it is smaller than the sum of its proper divisors (22599499104).

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

6882613920 is a wasteful number, since it uses less digits than its factorization.

6882613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6882613920 is about 82961.5207189454. The cubic root of 6882613920 is about 1902.1779199131.

The spelling of 6882613920 in words is "six billion, eight hundred eighty-two million, six hundred thirteen thousand, nine hundred twenty".