7342304760 has 384 divisors, whose sum is σ = 29016299520. Its totient is φ = 1571844096.

The previous prime is 7342304759. The next prime is 7342304791. The reversal of 7342304760 is 674032437.

It is a happy number.

7342304760 is a `hidden beast` number, since 7 + 342 + 304 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15722047 + ... + 15722513.

It is an arithmetic number, because the mean of its divisors is an integer number (75563280).

Almost surely, 2^7342304760 is an apocalyptic number.

7342304760 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 7342304760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508149760).

7342304760 is an abundant number, since it is smaller than the sum of its proper divisors (21673994760).

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

7342304760 is a wasteful number, since it uses less digits than its factorization.

7342304760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 7342304760 is about 85687.2496932887. The cubic root of 7342304760 is about 1943.6175071789.

The spelling of 7342304760 in words is "seven billion, three hundred forty-two million, three hundred four thousand, seven hundred sixty".