47904307200 has 360 divisors, whose sum is σ = 177442705440. Its totient is φ = 12773376000.

The previous prime is 47904307177. The next prime is 47904307207. The reversal of 47904307200 is 270340974.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-5 number, since 5×47904307200⁵ (a number of 55 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47904307207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4141425 + ... + 4152975.

It is an arithmetic number, because the mean of its divisors is an integer number (492896404).

Almost surely, 2^47904307200 is an apocalyptic number.

47904307200 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 47904307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88721352720).

47904307200 is an abundant number, since it is smaller than the sum of its proper divisors (129538398240).

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

47904307200 is a wasteful number, since it uses less digits than its factorization.

47904307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11595 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 47904307200 in words is "forty-seven billion, nine hundred four million, three hundred seven thousand, two hundred".