7229776320 has 672 divisors, whose sum is σ = 29216835648. Its totient is φ = 1624375296.

The previous prime is 7229776289. The next prime is 7229776327. The reversal of 7229776320 is 236779227.

7229776320 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 7 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7229776327) by changing a digit.

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, 23549607 + ... + 23549913.

It is an arithmetic number, because the mean of its divisors is an integer number (43477434).

Almost surely, 2^7229776320 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 7229776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608417824).

7229776320 is an abundant number, since it is smaller than the sum of its proper divisors (21987059328).

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

7229776320 is a wasteful number, since it uses less digits than its factorization.

7229776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 7229776320 is about 85028.0913580918. The cubic root of 7229776320 is about 1933.6370266749.

The spelling of 7229776320 in words is "seven billion, two hundred twenty-nine million, seven hundred seventy-six thousand, three hundred twenty".