47284062720 has 320 divisors, whose sum is σ = 159874767360. Its totient is φ = 11888640000.

The previous prime is 47284062719. The next prime is 47284062733. The reversal of 47284062720 is 2726048274.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 36625275 + ... + 36626565.

It is an arithmetic number, because the mean of its divisors is an integer number (499608648).

Almost surely, 2^47284062720 is an apocalyptic number.

47284062720 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 47284062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79937383680).

47284062720 is an abundant number, since it is smaller than the sum of its proper divisors (112590704640).

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

47284062720 is a wasteful number, since it uses less digits than its factorization.

47284062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 47284062720 in words is "forty-seven billion, two hundred eighty-four million, sixty-two thousand, seven hundred twenty".