7289921520 has 480 divisors, whose sum is σ = 29665958400. Its totient is φ = 1567143936.

The previous prime is 7289921503. The next prime is 7289921531. The reversal of 7289921520 is 251299827.

It is a happy number.

It is a super-2 number, since 2×7289921520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25759299 + ... + 25759581.

It is an arithmetic number, because the mean of its divisors is an integer number (61804080).

Almost surely, 2^7289921520 is an apocalyptic number.

7289921520 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 7289921520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832979200).

7289921520 is an abundant number, since it is smaller than the sum of its proper divisors (22376036880).

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

7289921520 is a wasteful number, since it uses less digits than its factorization.

7289921520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 7289921520 is about 85381.0372389561. The cubic root of 7289921520 is about 1938.9842629776.

The spelling of 7289921520 in words is "seven billion, two hundred eighty-nine million, nine hundred twenty-one thousand, five hundred twenty".