6792422400 has 528 divisors, whose sum is σ = 25829537280. Its totient is φ = 1747353600.

The previous prime is 6792422393. The next prime is 6792422401. The reversal of 6792422400 is 42242976.

6792422400 is a `hidden beast` number, since 6 + 7 + 9 + 242 + 2 + 400 = 666.

It is a super-2 number, since 2×6792422400² = 92274004120043520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6792422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21427042 + ... + 21427358.

Almost surely, 2^6792422400 is an apocalyptic number.

6792422400 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 6792422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12914768640).

6792422400 is an abundant number, since it is smaller than the sum of its proper divisors (19037114880).

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

6792422400 is a wasteful number, since it uses less digits than its factorization.

6792422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6792422400 is about 82416.1537564087. The cubic root of 6792422400 is about 1893.8324853788.

The spelling of 6792422400 in words is "six billion, seven hundred ninety-two million, four hundred twenty-two thousand, four hundred".