4894797600 has 1008 divisors, whose sum is σ = 22541682240. Its totient is φ = 1007769600.

The previous prime is 4894797559. The next prime is 4894797631. The reversal of 4894797600 is 67974984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 44906346 + ... + 44906454.

It is an arithmetic number, because the mean of its divisors is an integer number (22362780).

Almost surely, 2^4894797600 is an apocalyptic number.

4894797600 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 4894797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270841120).

4894797600 is an abundant number, since it is smaller than the sum of its proper divisors (17646884640).

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

4894797600 is a wasteful number, since it uses less digits than its factorization.

4894797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4894797600 is about 69962.8301314348. The cubic root of 4894797600 is about 1697.8979324082.

The spelling of 4894797600 in words is "four billion, eight hundred ninety-four million, seven hundred ninety-seven thousand, six hundred".