47734456000 has 224 divisors, whose sum is σ = 147386064384. Its totient is φ = 14878080000.

The previous prime is 47734455983. The next prime is 47734456027. The reversal of 47734456000 is 65443774.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577255 + ... + 654745.

Almost surely, 2^47734456000 is an apocalyptic number.

47734456000 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 47734456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73693032192).

47734456000 is an abundant number, since it is smaller than the sum of its proper divisors (99651608384).

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

47734456000 is a wasteful number, since it uses less digits than its factorization.

47734456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77536 (or 77516 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

Adding to 47734456000 its reverse (65443774), we get a palindrome (47799899774).

The spelling of 47734456000 in words is "forty-seven billion, seven hundred thirty-four million, four hundred fifty-six thousand".