4953765600 has 720 divisors, whose sum is σ = 21082900608. Its totient is φ = 1108546560.

The previous prime is 4953765577. The next prime is 4953765617. The reversal of 4953765600 is 65673594.

4953765600 is a `hidden beast` number, since 4 + 9 + 5 + 37 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 30391119 + ... + 30391281.

Almost surely, 2^4953765600 is an apocalyptic number.

4953765600 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 4953765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541450304).

4953765600 is an abundant number, since it is smaller than the sum of its proper divisors (16129135008).

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

4953765600 is a wasteful number, since it uses less digits than its factorization.

4953765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 4953765600 is about 70382.9922637564. The cubic root of 4953765600 is about 1704.6889695600.

The spelling of 4953765600 in words is "four billion, nine hundred fifty-three million, seven hundred sixty-five thousand, six hundred".