6938512478208 has 468 divisors, whose sum is σ = 20924001501312. Its totient is φ = 2212972462080.

The previous prime is 6938512478207. The next prime is 6938512478221. The reversal of 6938512478208 is 8028742158396.

6938512478208 is a `hidden beast` number, since 6 + 9 + 38 + 512 + 4 + 7 + 82 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6938512478203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 35950841760 + ... + 35950841952.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6938512478208 = 13877024956416, but 3⋅6938512478208 = 20815537434624 is not.

Almost surely, 2^{6938512478208} 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 6938512478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10462000750656).

6938512478208 is an abundant number, since it is smaller than the sum of its proper divisors (13985489023104).

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

6938512478208 is a wasteful number, since it uses less digits than its factorization.

6938512478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6938512478208 in words is "six trillion, nine hundred thirty-eight billion, five hundred twelve million, four hundred seventy-eight thousand, two hundred eight".