6938745600 has 216 divisors, whose sum is σ = 22976293312. Its totient is φ = 1844121600.

The previous prime is 6938745599. The next prime is 6938745607. The reversal of 6938745600 is 65478396.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6938745600.

It is not an unprimeable number, because it can be changed into a prime (6938745607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10041255 + ... + 10041945.

Almost surely, 2^6938745600 is an apocalyptic number.

6938745600 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 6938745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488146656).

6938745600 is an abundant number, since it is smaller than the sum of its proper divisors (16037547712).

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

6938745600 is a wasteful number, since it uses less digits than its factorization.

6938745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6938745600 is about 83299.1332487920. The cubic root of 6938745600 is about 1907.3350442265.

The spelling of 6938745600 in words is "six billion, nine hundred thirty-eight million, seven hundred forty-five thousand, six hundred".