7340505120 has 672 divisors, whose sum is σ = 28874506752. Its totient is φ = 1751279616.

The previous prime is 7340505101. The next prime is 7340505217. The reversal of 7340505120 is 215050437.

It is a happy number.

7340505120 is a `hidden beast` number, since 7 + 34 + 0 + 505 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 71266989 + ... + 71267091.

It is an arithmetic number, because the mean of its divisors is an integer number (42968016).

Almost surely, 2^7340505120 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 7340505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437253376).

7340505120 is an abundant number, since it is smaller than the sum of its proper divisors (21534001632).

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

7340505120 is a wasteful number, since it uses less digits than its factorization.

7340505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 7340505120 is about 85676.7478374384. The cubic root of 7340505120 is about 1943.4586970259.

Adding to 7340505120 its reverse (215050437), we get a palindrome (7555555557).

The spelling of 7340505120 in words is "seven billion, three hundred forty million, five hundred five thousand, one hundred twenty".