6930638400 has 504 divisors, whose sum is σ = 26857269120. Its totient is φ = 1559900160.

The previous prime is 6930638383. The next prime is 6930638413. The reversal of 6930638400 is 48360396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18580614 + ... + 18580986.

Almost surely, 2^6930638400 is an apocalyptic number.

6930638400 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 6930638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428634560).

6930638400 is an abundant number, since it is smaller than the sum of its proper divisors (19926630720).

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

6930638400 is a wasteful number, since it uses less digits than its factorization.

6930638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 6930638400 is about 83250.4558546078. The cubic root of 6930638400 is about 1906.5919140878.

Adding to 6930638400 its reverse (48360396), we get a palindrome (6978998796).

The spelling of 6930638400 in words is "six billion, nine hundred thirty million, six hundred thirty-eight thousand, four hundred".