6938346264192 has 768 divisors, whose sum is σ = 24525343814400. Its totient is φ = 1838617657344.

The previous prime is 6938346264107. The next prime is 6938346264257. The reversal of 6938346264192 is 2914626438396.

6938346264192 is a `hidden beast` number, since 6 + 9 + 3 + 83 + 462 + 6 + 4 + 1 + 92 = 666.

It is a super-2 number, since 2×6938346264192² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6959223438 + ... + 6959224434.

It is an arithmetic number, because the mean of its divisors is an integer number (31934041425).

Almost surely, 2^{6938346264192} 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 6938346264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262671907200).

6938346264192 is an abundant number, since it is smaller than the sum of its proper divisors (17586997550208).

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

6938346264192 is a wasteful number, since it uses less digits than its factorization.

6938346264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1938 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 6938346264192 in words is "six trillion, nine hundred thirty-eight billion, three hundred forty-six million, two hundred sixty-four thousand, one hundred ninety-two".