4896763200 has 336 divisors, whose sum is σ = 20401848960. Its totient is φ = 1119191040.

The previous prime is 4896763177. The next prime is 4896763213. The reversal of 4896763200 is 23676984.

4896763200 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 7 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 294304 + ... + 310496.

Almost surely, 2^4896763200 is an apocalyptic number.

4896763200 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 4896763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200924480).

4896763200 is an abundant number, since it is smaller than the sum of its proper divisors (15505085760).

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

4896763200 is a wasteful number, since it uses less digits than its factorization.

4896763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16231 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4896763200 is about 69976.8761806356. The cubic root of 4896763200 is about 1698.1251765026.

The spelling of 4896763200 in words is "four billion, eight hundred ninety-six million, seven hundred sixty-three thousand, two hundred".