7226476225920 has 768 divisors, whose sum is σ = 29472099471360. Its totient is φ = 1596672000000.

The previous prime is 7226476225877. The next prime is 7226476225931. The reversal of 7226476225920 is 295226746227.

7226476225920 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 4 + 7 + 622 + 5 + 9 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1313663170 + ... + 1313668670.

It is an arithmetic number, because the mean of its divisors is an integer number (38375129520).

Almost surely, 2^{7226476225920} is an apocalyptic number.

7226476225920 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 7226476225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736049735680).

7226476225920 is an abundant number, since it is smaller than the sum of its proper divisors (22245623245440).

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

7226476225920 is a wasteful number, since it uses less digits than its factorization.

7226476225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 7226476225920 in words is "seven trillion, two hundred twenty-six billion, four hundred seventy-six million, two hundred twenty-five thousand, nine hundred twenty".