47664707200 has 576 divisors, whose sum is σ = 141097040640. Its totient is φ = 15890688000.

The previous prime is 47664707191. The next prime is 47664707203. The reversal of 47664707200 is 270746674.

It is not an unprimeable number, because it can be changed into a prime (47664707203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1537571185 + ... + 1537571215.

It is an arithmetic number, because the mean of its divisors is an integer number (244960140).

Almost surely, 2^47664707200 is an apocalyptic number.

47664707200 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 47664707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70548520320).

47664707200 is an abundant number, since it is smaller than the sum of its proper divisors (93432333440).

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

47664707200 is a wasteful number, since it uses less digits than its factorization.

47664707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 47664707200 in words is "forty-seven billion, six hundred sixty-four million, seven hundred seven thousand, two hundred".