6938507136000 has 704 divisors, whose sum is σ = 25555102769664. Its totient is φ = 1656889344000.

The previous prime is 6938507135981. The next prime is 6938507136017. The reversal of 6938507136000 is 6317058396.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 282995742 + ... + 283020258.

Almost surely, 2^{6938507136000} is an apocalyptic number.

6938507136000 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 6938507136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777551384832).

6938507136000 is an abundant number, since it is smaller than the sum of its proper divisors (18616595633664).

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

6938507136000 is a wasteful number, since it uses less digits than its factorization.

6938507136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24633 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 6938507136000 in words is "six trillion, nine hundred thirty-eight billion, five hundred seven million, one hundred thirty-six thousand".