4695676416 has 120 divisors (see below), whose sum is σ = 14265571320. Its totient is φ = 1482817536.

The previous prime is 4695676399. The next prime is 4695676417. The reversal of 4695676416 is 6146765964.

4695676416 is a `hidden beast` number, since 4 + 6 + 9 + 567 + 64 + 16 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4695676417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60736 + ... + 114368.

It is an arithmetic number, because the mean of its divisors is an integer number (118879761).

Almost surely, 2^4695676416 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 4695676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132785660).

4695676416 is an abundant number, since it is smaller than the sum of its proper divisors (9569894904).

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

4695676416 is a wasteful number, since it uses less digits than its factorization.

4695676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53676 (or 53657 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 4695676416 is about 68525.0057716160. The cubic root of 4695676416 is about 1674.5548877119.

The spelling of 4695676416 in words is "four billion, six hundred ninety-five million, six hundred seventy-six thousand, four hundred sixteen".