47074771084800 has 960 divisors, whose sum is σ = 168384911675904. Its totient is φ = 11561730048000.

The previous prime is 47074771084799. The next prime is 47074771084811. The reversal of 47074771084800 is 848017747074.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3169797375 + ... + 3169812225.

Almost surely, 2^{47074771084800} is an apocalyptic number.

47074771084800 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 47074771084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84192455837952).

47074771084800 is an abundant number, since it is smaller than the sum of its proper divisors (121310140591104).

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

47074771084800 is a wasteful number, since it uses less digits than its factorization.

47074771084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15039 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 57.

The spelling of 47074771084800 in words is "forty-seven trillion, seventy-four billion, seven hundred seventy-one million, eighty-four thousand, eight hundred".