47799382400 has 768 divisors, whose sum is σ = 155722176000. Its totient is φ = 14360371200.

The previous prime is 47799382333. The next prime is 47799382403. The reversal of 47799382400 is 428399774.

It is a super-3 number, since 3×47799382400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47799382403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446723147 + ... + 446723253.

It is an arithmetic number, because the mean of its divisors is an integer number (202763250).

Almost surely, 2^47799382400 is an apocalyptic number.

47799382400 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 47799382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77861088000).

47799382400 is an abundant number, since it is smaller than the sum of its proper divisors (107922793600).

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

47799382400 is a wasteful number, since it uses less digits than its factorization.

47799382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 47799382400 in words is "forty-seven billion, seven hundred ninety-nine million, three hundred eighty-two thousand, four hundred".