47044972800 has 1728 divisors, whose sum is σ = 218985984000. Its totient is φ = 9634775040.

The previous prime is 47044972757. The next prime is 47044972813. The reversal of 47044972800 is 827944074.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528595156 + ... + 528595244.

It is an arithmetic number, because the mean of its divisors is an integer number (126728000).

Almost surely, 2^47044972800 is an apocalyptic number.

47044972800 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 47044972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992000).

47044972800 is an abundant number, since it is smaller than the sum of its proper divisors (171941011200).

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

47044972800 is a wasteful number, since it uses less digits than its factorization.

47044972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47044972800 in words is "forty-seven billion, forty-four million, nine hundred seventy-two thousand, eight hundred".