6938475264000 has 1728 divisors, whose sum is σ = 29822034060000. Its totient is φ = 1546223616000.

The previous prime is 6938475263987. The next prime is 6938475264013. The reversal of 6938475264000 is 4625748396.

6938475264000 is a `hidden beast` number, since 6 + 9 + 38 + 47 + 526 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6938475263987) and next prime (6938475264013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4628735251 + ... + 4628736749.

Almost surely, 2^{6938475264000} is an apocalyptic number.

6938475264000 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 6938475264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911017030000).

6938475264000 is an abundant number, since it is smaller than the sum of its proper divisors (22883558796000).

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

6938475264000 is a wasteful number, since it uses less digits than its factorization.

6938475264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6938475264000 in words is "six trillion, nine hundred thirty-eight billion, four hundred seventy-five million, two hundred sixty-four thousand".