7346545128 has 192 divisors, whose sum is σ = 22381632000. Its totient is φ = 2244153600.

The previous prime is 7346545123. The next prime is 7346545133. The reversal of 7346545128 is 8215456437.

7346545128 is a `hidden beast` number, since 73 + 4 + 65 + 4 + 512 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7346545123) and next prime (7346545133).

It is not an unprimeable number, because it can be changed into a prime (7346545123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3764553 + ... + 3766503.

It is an arithmetic number, because the mean of its divisors is an integer number (116571000).

Almost surely, 2^7346545128 is an apocalyptic number.

7346545128 is a gapful number since it is divisible by the number (78) 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 7346545128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190816000).

7346545128 is an abundant number, since it is smaller than the sum of its proper divisors (15035086872).

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

7346545128 is a wasteful number, since it uses less digits than its factorization.

7346545128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2118 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 7346545128 is about 85711.9894063835. The cubic root of 7346545128 is about 1943.9915980432.

The spelling of 7346545128 in words is "seven billion, three hundred forty-six million, five hundred forty-five thousand, one hundred twenty-eight".