47743449600 has 960 divisors, whose sum is σ = 200397745152. Its totient is φ = 9732096000.

The previous prime is 47743449571. The next prime is 47743449631. The reversal of 47743449600 is 694434774.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47743449600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198105480 + ... + 198105720.

Almost surely, 2^47743449600 is an apocalyptic number.

47743449600 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 47743449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100198872576).

47743449600 is an abundant number, since it is smaller than the sum of its proper divisors (152654295552).

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

47743449600 is a wasteful number, since it uses less digits than its factorization.

47743449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 47743449600 in words is "forty-seven billion, seven hundred forty-three million, four hundred forty-nine thousand, six hundred".