4972363200 has 1008 divisors, whose sum is σ = 22081845600. Its totient is φ = 1097349120.

The previous prime is 4972363189. The next prime is 4972363223. The reversal of 4972363200 is 23632794.

It is a happy number.

4972363200 is a `hidden beast` number, since 4 + 97 + 2 + 363 + 200 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171460786 + ... + 171460814.

Almost surely, 2^4972363200 is an apocalyptic number.

4972363200 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 4972363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040922800).

4972363200 is an abundant number, since it is smaller than the sum of its proper divisors (17109482400).

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

4972363200 is an equidigital number, since it uses as much as digits as its factorization.

4972363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4972363200 is about 70514.9856413514. The cubic root of 4972363200 is about 1706.8195731599.

Adding to 4972363200 its reverse (23632794), we get a palindrome (4995995994).

The spelling of 4972363200 in words is "four billion, nine hundred seventy-two million, three hundred sixty-three thousand, two hundred".