6878882102400 has 2304 divisors, whose sum is σ = 32014220958720. Its totient is φ = 1416849408000.

The previous prime is 6878882102363. The next prime is 6878882102459. The reversal of 6878882102400 is 42012888786.

6878882102400 is a `hidden beast` number, since 6 + 87 + 88 + 82 + 1 + 0 + 2 + 400 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 7843650762 + ... + 7843651638.

It is an arithmetic number, because the mean of its divisors is an integer number (13895061180).

Almost surely, 2^{6878882102400} is an apocalyptic number.

6878882102400 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 6878882102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007110479360).

6878882102400 is an abundant number, since it is smaller than the sum of its proper divisors (25135338856320).

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

6878882102400 is a wasteful number, since it uses less digits than its factorization.

6878882102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 6878882102400 in words is "six trillion, eight hundred seventy-eight billion, eight hundred eighty-two million, one hundred two thousand, four hundred".