4853721600 has 720 divisors, whose sum is σ = 21424795392. Its totient is φ = 1021870080.

The previous prime is 4853721583. The next prime is 4853721641. The reversal of 4853721600 is 61273584.

4853721600 is a `hidden beast` number, since 48 + 5 + 3 + 7 + 2 + 1 + 600 = 666.

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

It is a super-2 number, since 2×4853721600² = 47117226740613120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10482969 + ... + 10483431.

Almost surely, 2^4853721600 is an apocalyptic number.

4853721600 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 4853721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712397696).

4853721600 is an abundant number, since it is smaller than the sum of its proper divisors (16571073792).

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

4853721600 is a wasteful number, since it uses less digits than its factorization.

4853721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4853721600 is about 69668.6557929748. The cubic root of 4853721600 is about 1693.1351301828.

The spelling of 4853721600 in words is "four billion, eight hundred fifty-three million, seven hundred twenty-one thousand, six hundred".