6878540520 has 256 divisors, whose sum is σ = 23343552000. Its totient is φ = 1801433088.

The previous prime is 6878540519. The next prime is 6878540567. The reversal of 6878540520 is 250458786.

6878540520 is a `hidden beast` number, since 6 + 8 + 7 + 85 + 40 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 19160101 + ... + 19160459.

It is an arithmetic number, because the mean of its divisors is an integer number (91185750).

Almost surely, 2^6878540520 is an apocalyptic number.

6878540520 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 6878540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671776000).

6878540520 is an abundant number, since it is smaller than the sum of its proper divisors (16465011480).

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

6878540520 is a wasteful number, since it uses less digits than its factorization.

6878540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6878540520 is about 82936.9671497578. The cubic root of 6878540520 is about 1901.8025847706.

The spelling of 6878540520 in words is "six billion, eight hundred seventy-eight million, five hundred forty thousand, five hundred twenty".