4683758400 has 756 divisors, whose sum is σ = 18953962092. Its totient is φ = 1092648960.

The previous prime is 4683758333. The next prime is 4683758501. The reversal of 4683758400 is 48573864.

4683758400 is a `hidden beast` number, since 4 + 68 + 3 + 7 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67371264 + 4616387136 = 8208^2 + 67944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88372774 + ... + 88372826.

Almost surely, 2^4683758400 is an apocalyptic number.

4683758400 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 4683758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476981046).

4683758400 is an abundant number, since it is smaller than the sum of its proper divisors (14270203692).

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

4683758400 is a wasteful number, since it uses less digits than its factorization.

4683758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4683758400 is about 68437.9894503046. The cubic root of 4683758400 is about 1673.1369677283.

The spelling of 4683758400 in words is "four billion, six hundred eighty-three million, seven hundred fifty-eight thousand, four hundred".