7430952960 has 720 divisors, whose sum is σ = 29206457280. Its totient is φ = 1804861440.

The previous prime is 7430952941. The next prime is 7430952967. The reversal of 7430952960 is 692590347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 (7430952967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239708145 + ... + 239708175.

It is an arithmetic number, because the mean of its divisors is an integer number (40564524).

Almost surely, 2^7430952960 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 7430952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14603228640).

7430952960 is an abundant number, since it is smaller than the sum of its proper divisors (21775504320).

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

7430952960 is a wasteful number, since it uses less digits than its factorization.

7430952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 7430952960 is about 86202.9753546825. The cubic root of 7430952960 is about 1951.4084026437.

The spelling of 7430952960 in words is "seven billion, four hundred thirty million, nine hundred fifty-two thousand, nine hundred sixty".