7046400000 has 288 divisors, whose sum is σ = 23544743040. Its totient is φ = 1873920000.

The previous prime is 7046399993. The next prime is 7046400013. The reversal of 7046400000 is 46407.

It is a self number, because there is not a number n which added to its sum of digits gives 7046400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19199817 + ... + 19200183.

It is an arithmetic number, because the mean of its divisors is an integer number (81752580).

Almost surely, 2^7046400000 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 7046400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772371520).

7046400000 is an abundant number, since it is smaller than the sum of its proper divisors (16498343040).

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

7046400000 is an frugal number, since it uses more digits than its factorization.

7046400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7046400000 is about 83942.8376932779. The cubic root of 7046400000 is about 1917.1485450851.

Adding to 7046400000 its reverse (46407), we get a palindrome (7046446407).

The spelling of 7046400000 in words is "seven billion, forty-six million, four hundred thousand".