47447013600 has 1296 divisors, whose sum is σ = 214436306448. Its totient is φ = 10172252160.

The previous prime is 47447013577. The next prime is 47447013671. The reversal of 47447013600 is 631074474.

It is a happy number.

47447013600 is a `hidden beast` number, since 4 + 7 + 4 + 47 + 0 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 161935054 + ... + 161935346.

It is an arithmetic number, because the mean of its divisors is an integer number (165460113).

Almost surely, 2^47447013600 is an apocalyptic number.

47447013600 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 47447013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107218153224).

47447013600 is an abundant number, since it is smaller than the sum of its proper divisors (166989292848).

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

47447013600 is a wasteful number, since it uses less digits than its factorization.

47447013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 47447013600 in words is "forty-seven billion, four hundred forty-seven million, thirteen thousand, six hundred".