47568579408 has 120 divisors (see below), whose sum is σ = 152278521408. Its totient is φ = 13579001856.

The previous prime is 47568579403. The next prime is 47568579433. The reversal of 47568579408 is 80497586574.

47568579408 is a `hidden beast` number, since 4 + 7 + 56 + 8 + 579 + 4 + 0 + 8 = 666.

47568579408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47568579403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152016 + ... + 1192592.

Almost surely, 2^47568579408 is an apocalyptic number.

47568579408 is a gapful number since it is divisible by the number (48) 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 47568579408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76139260704).

47568579408 is an abundant number, since it is smaller than the sum of its proper divisors (104709942000).

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

47568579408 is a wasteful number, since it uses less digits than its factorization.

47568579408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41761 (or 41752 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 47568579408 in words is "forty-seven billion, five hundred sixty-eight million, five hundred seventy-nine thousand, four hundred eight".