7229089969920 has 1728 divisors, whose sum is σ = 33028596357120. Its totient is φ = 1472496205824.

The previous prime is 7229089969879. The next prime is 7229089969931. The reversal of 7229089969920 is 299699809227.

It is a happy number.

7229089969920 is a `hidden beast` number, since 72 + 290 + 89 + 96 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×7229089969920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 820830157 + ... + 820838963.

It is an arithmetic number, because the mean of its divisors is an integer number (19113771040).

Almost surely, 2^{7229089969920} is an apocalyptic number.

7229089969920 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 7229089969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514298178560).

7229089969920 is an abundant number, since it is smaller than the sum of its proper divisors (25799506387200).

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

7229089969920 is a wasteful number, since it uses less digits than its factorization.

7229089969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 7229089969920 in words is "seven trillion, two hundred twenty-nine billion, eighty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".