6878632320 has 1024 divisors, whose sum is σ = 30433536000. Its totient is φ = 1433272320.

The previous prime is 6878632309. The next prime is 6878632349. The reversal of 6878632320 is 232368786.

6878632320 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 632 + 3 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94227804 + ... + 94227876.

It is an arithmetic number, because the mean of its divisors is an integer number (29720250).

Almost surely, 2^6878632320 is an apocalyptic number.

6878632320 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 6878632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216768000).

6878632320 is an abundant number, since it is smaller than the sum of its proper divisors (23554903680).

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

6878632320 is a wasteful number, since it uses less digits than its factorization.

6878632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6878632320 is about 82937.5205802537. The cubic root of 6878632320 is about 1901.8110451264.

The spelling of 6878632320 in words is "six billion, eight hundred seventy-eight million, six hundred thirty-two thousand, three hundred twenty".