6938040000 has 560 divisors, whose sum is σ = 25709270400. Its totient is φ = 1640448000.

The previous prime is 6938039963. The next prime is 6938040013. The reversal of 6938040000 is 408396.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6938040000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38759911 + ... + 38760089.

Almost surely, 2^6938040000 is an apocalyptic number.

6938040000 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 6938040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854635200).

6938040000 is an abundant number, since it is smaller than the sum of its proper divisors (18771230400).

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

6938040000 is a wasteful number, since it uses less digits than its factorization.

6938040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6938040000 is about 83294.8978029267. The cubic root of 6938040000 is about 1907.2703898300.

Adding to 6938040000 its reverse (408396), we get a palindrome (6938448396).

The spelling of 6938040000 in words is "six billion, nine hundred thirty-eight million, forty thousand".