47722543200 has 720 divisors, whose sum is σ = 185798733120. Its totient is φ = 11885460480.

The previous prime is 47722543189. The next prime is 47722543201. The reversal of 47722543200 is 234522774.

It is a happy number.

47722543200 is a `hidden beast` number, since 4 + 77 + 22 + 543 + 20 + 0 = 666.

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

It is a super-2 number, since 2×47722543200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47722543201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102189367 + ... + 102189833.

It is an arithmetic number, because the mean of its divisors is an integer number (258053796).

Almost surely, 2^47722543200 is an apocalyptic number.

47722543200 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 47722543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899366560).

47722543200 is an abundant number, since it is smaller than the sum of its proper divisors (138076189920).

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

47722543200 is a wasteful number, since it uses less digits than its factorization.

47722543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 47722543200 in words is "forty-seven billion, seven hundred twenty-two million, five hundred forty-three thousand, two hundred".