47934720000 has 960 divisors, whose sum is σ = 189333144000. Its totient is φ = 11943936000.

The previous prime is 47934719999. The next prime is 47934720017. The reversal of 47934720000 is 2743974.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 656639964 + ... + 656640036.

It is an arithmetic number, because the mean of its divisors is an integer number (197222025).

Almost surely, 2^47934720000 is an apocalyptic number.

47934720000 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 47934720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94666572000).

47934720000 is an abundant number, since it is smaller than the sum of its proper divisors (141398424000).

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

47934720000 is an equidigital number, since it uses as much as digits as its factorization.

47934720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

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

The spelling of 47934720000 in words is "forty-seven billion, nine hundred thirty-four million, seven hundred twenty thousand".