4516607340 has 216 divisors, whose sum is σ = 16309172880. Its totient is φ = 1008274176.

The previous prime is 4516607339. The next prime is 4516607387. The reversal of 4516607340 is 437066154.

It is a happy number.

4516607340 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 607 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4516607295 and 4516607304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373306 + ... + 385214.

It is an arithmetic number, because the mean of its divisors is an integer number (75505430).

Almost surely, 2^4516607340 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 4516607340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154586440).

4516607340 is an abundant number, since it is smaller than the sum of its proper divisors (11792565540).

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

4516607340 is a wasteful number, since it uses less digits than its factorization.

4516607340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4516607340 is about 67205.7091324837. The cubic root of 4516607340 is about 1652.9921025355.

The spelling of 4516607340 in words is "four billion, five hundred sixteen million, six hundred seven thousand, three hundred forty".