6878903322240 has 512 divisors, whose sum is σ = 24786387763200. Its totient is φ = 1802713190400.

The previous prime is 6878903322229. The next prime is 6878903322241. The reversal of 6878903322240 is 422233098786.

6878903322240 is a `hidden beast` number, since 6 + 8 + 7 + 89 + 0 + 332 + 224 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6878903322241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273927285 + ... + 273952395.

It is an arithmetic number, because the mean of its divisors is an integer number (48410913600).

Almost surely, 2^{6878903322240} is an apocalyptic number.

6878903322240 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 6878903322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393193881600).

6878903322240 is an abundant number, since it is smaller than the sum of its proper divisors (17907484440960).

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

6878903322240 is a wasteful number, since it uses less digits than its factorization.

6878903322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25413 (or 25395 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6878903322240 in words is "six trillion, eight hundred seventy-eight billion, nine hundred three million, three hundred twenty-two thousand, two hundred forty".