6878007674340 has 192 divisors, whose sum is σ = 21886384343040. Its totient is φ = 1599155584000.

The previous prime is 6878007674339. The next prime is 6878007674389. The reversal of 6878007674340 is 434767008786.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557496 + ... + 3750575.

It is an arithmetic number, because the mean of its divisors is an integer number (113991585120).

Almost surely, 2^{6878007674340} is an apocalyptic number.

6878007674340 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 6878007674340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943192171520).

6878007674340 is an abundant number, since it is smaller than the sum of its proper divisors (15008376668700).

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

6878007674340 is a wasteful number, since it uses less digits than its factorization.

6878007674340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308194 (or 4308192 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 6878007674340 in words is "six trillion, eight hundred seventy-eight billion, seven million, six hundred seventy-four thousand, three hundred forty".