47943520320 has 224 divisors, whose sum is σ = 154167108480. Its totient is φ = 12622233600.

The previous prime is 47943520297. The next prime is 47943520321. The reversal of 47943520320 is 2302534974.

It is a super-2 number, since 2×47943520320² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47943520321) 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 31 ways as a sum of consecutive naturals, for example, 62344896 + ... + 62345664.

It is an arithmetic number, because the mean of its divisors is an integer number (688246020).

Almost surely, 2^47943520320 is an apocalyptic number.

47943520320 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 47943520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77083554240).

47943520320 is an abundant number, since it is smaller than the sum of its proper divisors (106223588160).

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

47943520320 is a wasteful number, since it uses less digits than its factorization.

47943520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 47943520320 in words is "forty-seven billion, nine hundred forty-three million, five hundred twenty thousand, three hundred twenty".