47579910420 has 768 divisors, whose sum is σ = 175575859200. Its totient is φ = 9573580800.

The previous prime is 47579910401. The next prime is 47579910449. The reversal of 47579910420 is 2401997574.

It is a super-3 number, since 3×47579910420³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47579910420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 444672007 + ... + 444672113.

It is an arithmetic number, because the mean of its divisors is an integer number (228614400).

Almost surely, 2^47579910420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47579910420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87787929600).

47579910420 is an abundant number, since it is smaller than the sum of its proper divisors (127995948780).

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

47579910420 is a wasteful number, since it uses less digits than its factorization.

47579910420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 47579910420 in words is "forty-seven billion, five hundred seventy-nine million, nine hundred ten thousand, four hundred twenty".