6878516400 has 360 divisors, whose sum is σ = 27546165504. Its totient is φ = 1556928000.

The previous prime is 6878516399. The next prime is 6878516453. The reversal of 6878516400 is 46158786.

It is a happy number.

6878516400 is a `hidden beast` number, since 68 + 78 + 516 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2695125 + ... + 2697675.

Almost surely, 2^6878516400 is an apocalyptic number.

6878516400 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 6878516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773082752).

6878516400 is an abundant number, since it is smaller than the sum of its proper divisors (20667649104).

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

6878516400 is a wasteful number, since it uses less digits than its factorization.

6878516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6878516400 is about 82936.8217379952. The cubic root of 6878516400 is about 1901.8003618411.

The spelling of 6878516400 in words is "six billion, eight hundred seventy-eight million, five hundred sixteen thousand, four hundred".