6887384628048 has 480 divisors, whose sum is σ = 21437187932160. Its totient is φ = 2056066467840.

The previous prime is 6887384627999. The next prime is 6887384628083. The reversal of 6887384628048 is 8408264837886.

6887384628048 is a `hidden beast` number, since 6 + 8 + 87 + 3 + 8 + 462 + 80 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 612587515 + ... + 612598757.

It is an arithmetic number, because the mean of its divisors is an integer number (44660808192).

Almost surely, 2^{6887384628048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6887384628048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718593966080).

6887384628048 is an abundant number, since it is smaller than the sum of its proper divisors (14549803304112).

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

6887384628048 is a wasteful number, since it uses less digits than its factorization.

6887384628048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 792723456, while the sum is 72.

The spelling of 6887384628048 in words is "six trillion, eight hundred eighty-seven billion, three hundred eighty-four million, six hundred twenty-eight thousand, forty-eight".