4628319696 has 720 divisors, whose sum is σ = 18424862400. Its totient is φ = 1101703680.

The previous prime is 4628319691. The next prime is 4628319697. The reversal of 4628319696 is 6969138264.

4628319696 is a `hidden beast` number, since 4 + 628 + 3 + 1 + 9 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628319691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33297195 + ... + 33297333.

Almost surely, 2^4628319696 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 4628319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212431200).

4628319696 is an abundant number, since it is smaller than the sum of its proper divisors (13796542704).

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

4628319696 is a wasteful number, since it uses less digits than its factorization.

4628319696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4628319696 is about 68031.7550560031. The cubic root of 4628319696 is about 1666.5094598032.

The spelling of 4628319696 in words is "four billion, six hundred twenty-eight million, three hundred nineteen thousand, six hundred ninety-six".