7338360960 has 384 divisors, whose sum is σ = 29749075200. Its totient is φ = 1631674368.

The previous prime is 7338360959. The next prime is 7338360971. The reversal of 7338360960 is 690638337.

It is a happy number.

7338360960 is a `hidden beast` number, since 7 + 3 + 38 + 3 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489381 + ... + 1494299.

It is an arithmetic number, because the mean of its divisors is an integer number (77471550).

Almost surely, 2^7338360960 is an apocalyptic number.

7338360960 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 7338360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874537600).

7338360960 is an abundant number, since it is smaller than the sum of its proper divisors (22410714240).

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

7338360960 is a wasteful number, since it uses less digits than its factorization.

7338360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 7338360960 is about 85664.2338435359. The cubic root of 7338360960 is about 1943.2694506397.

The spelling of 7338360960 in words is "seven billion, three hundred thirty-eight million, three hundred sixty thousand, nine hundred sixty".