6878424960000 has 880 divisors, whose sum is σ = 27769924279680. Its totient is φ = 1667450880000.

The previous prime is 6878424959981. The next prime is 6878424960013. The reversal of 6878424960000 is 694248786.

6878424960000 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 4 + 24 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190061907 + ... + 190098093.

It is an arithmetic number, because the mean of its divisors is an integer number (31556732136).

Almost surely, 2^{6878424960000} is an apocalyptic number.

6878424960000 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 6878424960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884962139840).

6878424960000 is an abundant number, since it is smaller than the sum of its proper divisors (20891499319680).

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

6878424960000 is a wasteful number, since it uses less digits than its factorization.

6878424960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36247 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6878424960000 in words is "six trillion, eight hundred seventy-eight billion, four hundred twenty-four million, nine hundred sixty thousand".