4894137600 has 216 divisors, whose sum is σ = 17620768032. Its totient is φ = 1186406400.

The previous prime is 4894137583. The next prime is 4894137601. The reversal of 4894137600 is 67314984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4894137601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199614 + ... + 222786.

Almost surely, 2^4894137600 is an apocalyptic number.

4894137600 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 4894137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810384016).

4894137600 is an abundant number, since it is smaller than the sum of its proper divisors (12726630432).

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

4894137600 is a wasteful number, since it uses less digits than its factorization.

4894137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23213 (or 23194 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4894137600 is about 69958.1131821035. The cubic root of 4894137600 is about 1697.8216158031.

The spelling of 4894137600 in words is "four billion, eight hundred ninety-four million, one hundred thirty-seven thousand, six hundred".