4511693376 has 336 divisors, whose sum is σ = 14378757120. Its totient is φ = 1346273280.

The previous prime is 4511693371. The next prime is 4511693377. The reversal of 4511693376 is 6733961154.

It is a happy number.

4511693376 is a `hidden beast` number, since 4 + 511 + 69 + 3 + 3 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (4511693371) 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, 27016045 + ... + 27016211.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^4511693376 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 4511693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

4511693376 is an abundant number, since it is smaller than the sum of its proper divisors (9867063744).

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

4511693376 is a wasteful number, since it uses less digits than its factorization.

4511693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 4511693376 is about 67169.1400570232. The cubic root of 4511693376 is about 1652.3924126474.

The spelling of 4511693376 in words is "four billion, five hundred eleven million, six hundred ninety-three thousand, three hundred seventy-six".