7430560416 has 72 divisors (see below), whose sum is σ = 21165629940. Its totient is φ = 2472754176.

The previous prime is 7430560393. The next prime is 7430560471. The reversal of 7430560416 is 6140650347.

It is a happy number.

7430560416 is a `hidden beast` number, since 7 + 4 + 30 + 5 + 604 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7429750416 + 810000 = 86196^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 155500 + ... + 197588.

Almost surely, 2^7430560416 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 7430560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582814970).

7430560416 is an abundant number, since it is smaller than the sum of its proper divisors (13735069524).

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

7430560416 is a wasteful number, since it uses less digits than its factorization.

7430560416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42718 (or 42707 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7430560416 is about 86200.6984658477. The cubic root of 7430560416 is about 1951.3740406467.

The spelling of 7430560416 in words is "seven billion, four hundred thirty million, five hundred sixty thousand, four hundred sixteen".