6938781322000 has 80 divisors (see below), whose sum is σ = 18303243588864. Its totient is φ = 2523193200000.

The previous prime is 6938781321949. The next prime is 6938781322001. The reversal of 6938781322000 is 2231878396.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×6938781322000³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6938781322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157677576 + ... + 157721575.

Almost surely, 2^{6938781322000} is an apocalyptic number.

It is an amenable number.

6938781322000 is an abundant number, since it is smaller than the sum of its proper divisors (11364462266864).

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

6938781322000 is a wasteful number, since it uses less digits than its factorization.

6938781322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315399185 (or 315399169 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 6938781322000 in words is "six trillion, nine hundred thirty-eight billion, seven hundred eighty-one million, three hundred twenty-two thousand".