7223126400 has 576 divisors, whose sum is σ = 30569710080. Its totient is φ = 1649756160.

The previous prime is 7223126363. The next prime is 7223126429. The reversal of 7223126400 is 46213227.

7223126400 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5442537 + ... + 5443863.

Almost surely, 2^7223126400 is an apocalyptic number.

7223126400 is a gapful number since it is divisible by the number (70) 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 7223126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284855040).

7223126400 is an abundant number, since it is smaller than the sum of its proper divisors (23346583680).

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

7223126400 is a wasteful number, since it uses less digits than its factorization.

7223126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7223126400 is about 84988.9781089289. The cubic root of 7223126400 is about 1933.0439942217.

Adding to 7223126400 its reverse (46213227), we get a palindrome (7269339627).

The spelling of 7223126400 in words is "seven billion, two hundred twenty-three million, one hundred twenty-six thousand, four hundred".