7345689120 has 960 divisors, whose sum is σ = 34301304576. Its totient is φ = 1433272320.

The previous prime is 7345689119. The next prime is 7345689133. The reversal of 7345689120 is 219865437.

7345689120 is a `hidden beast` number, since 73 + 4 + 568 + 9 + 12 + 0 = 666.

7345689120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

7345689120 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964424 + ... + 16964856.

It is a 1-persistent number, because it is pandigital, but 2⋅7345689120 = 14691378240 is not.

Almost surely, 2^7345689120 is an apocalyptic number.

7345689120 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 7345689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17150652288).

7345689120 is an abundant number, since it is smaller than the sum of its proper divisors (26955615456).

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

7345689120 is a wasteful number, since it uses less digits than its factorization.

7345689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7345689120 is about 85706.9957471384. The cubic root of 7345689120 is about 1943.9160914858.

The spelling of 7345689120 in words is "seven billion, three hundred forty-five million, six hundred eighty-nine thousand, one hundred twenty".