7225826122368 has 576 divisors, whose sum is σ = 24406032456000. Its totient is φ = 2045988274176.

The previous prime is 7225826122351. The next prime is 7225826122379. The reversal of 7225826122368 is 8632216285227.

7225826122368 is a `hidden beast` number, since 7 + 2 + 2 + 582 + 6 + 1 + 22 + 36 + 8 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3178980880 + ... + 3178983152.

It is an arithmetic number, because the mean of its divisors is an integer number (42371584125).

Almost surely, 2^{7225826122368} 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 7225826122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203016228000).

7225826122368 is an abundant number, since it is smaller than the sum of its proper divisors (17180206333632).

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

7225826122368 is a wasteful number, since it uses less digits than its factorization.

7225826122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2767 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 7225826122368 in words is "seven trillion, two hundred twenty-five billion, eight hundred twenty-six million, one hundred twenty-two thousand, three hundred sixty-eight".