7289034480 has 800 divisors, whose sum is σ = 31941955584. Its totient is φ = 1499461632.

The previous prime is 7289034439. The next prime is 7289034481. The reversal of 7289034480 is 844309827.

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 (7289034481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27714829 + ... + 27715091.

Almost surely, 2^7289034480 is an apocalyptic number.

7289034480 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 7289034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970977792).

7289034480 is an abundant number, since it is smaller than the sum of its proper divisors (24652921104).

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

7289034480 is a wasteful number, since it uses less digits than its factorization.

7289034480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7289034480 is about 85375.8424848622. The cubic root of 7289034480 is about 1938.9056143775.

The spelling of 7289034480 in words is "seven billion, two hundred eighty-nine million, thirty-four thousand, four hundred eighty".