47902648320 has 864 divisors, whose sum is σ = 185697308160. Its totient is φ = 11824496640.

The previous prime is 47902648273. The next prime is 47902648363. The reversal of 47902648320 is 2384620974.

47902648320 is a `hidden beast` number, since 47 + 90 + 26 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1545246705 + ... + 1545246735.

It is an arithmetic number, because the mean of its divisors is an integer number (214927440).

Almost surely, 2^47902648320 is an apocalyptic number.

47902648320 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 47902648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92848654080).

47902648320 is an abundant number, since it is smaller than the sum of its proper divisors (137794659840).

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

47902648320 is an frugal number, since it uses more digits than its factorization.

47902648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47902648320 in words is "forty-seven billion, nine hundred two million, six hundred forty-eight thousand, three hundred twenty".