47664467200 has 216 divisors, whose sum is σ = 137705686272. Its totient is φ = 15993692160.

The previous prime is 47664467189. The next prime is 47664467209. The reversal of 47664467200 is 276446674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47664467209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094282 + ... + 2116918.

Almost surely, 2^47664467200 is an apocalyptic number.

47664467200 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 47664467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68852843136).

47664467200 is an abundant number, since it is smaller than the sum of its proper divisors (90041219072).

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

47664467200 is a wasteful number, since it uses less digits than its factorization.

47664467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22698 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

It can be divided in two parts, 47 and 664467200, that multiplied together give a square (31229958400 = 176720²).

The spelling of 47664467200 in words is "forty-seven billion, six hundred sixty-four million, four hundred sixty-seven thousand, two hundred".