7289617920 has 160 divisors (see below), whose sum is σ = 25096956192. Its totient is φ = 1794342912.

The previous prime is 7289617879. The next prime is 7289617939. The reversal of 7289617920 is 297169827.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 63334 + ... + 136346.

Almost surely, 2^7289617920 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 7289617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548478096).

7289617920 is an abundant number, since it is smaller than the sum of its proper divisors (17807338272).

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

7289617920 is a wasteful number, since it uses less digits than its factorization.

7289617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73052 (or 73036 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 7289617920 is about 85379.2593081013. The cubic root of 7289617920 is about 1938.9573452761.

The spelling of 7289617920 in words is "seven billion, two hundred eighty-nine million, six hundred seventeen thousand, nine hundred twenty".