4696673600 has 252 divisors, whose sum is σ = 12540447360. Its totient is φ = 1729305600.

The previous prime is 4696673591. The next prime is 4696673609. The reversal of 4696673600 is 63766964.

It is an interprime number because it is at equal distance from previous prime (4696673591) and next prime (4696673609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4696673609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26238311 + ... + 26238489.

It is an arithmetic number, because the mean of its divisors is an integer number (49763680).

Almost surely, 2^4696673600 is an apocalyptic number.

4696673600 is a gapful number since it is divisible by the number (40) 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 4696673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270223680).

4696673600 is an abundant number, since it is smaller than the sum of its proper divisors (7843773760).

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

4696673600 is a wasteful number, since it uses less digits than its factorization.

4696673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 47.

The square root of 4696673600 is about 68532.2814445864. The cubic root of 4696673600 is about 1674.6734166879.

The spelling of 4696673600 in words is "four billion, six hundred ninety-six million, six hundred seventy-three thousand, six hundred".