47868259824 has 1280 divisors, whose sum is σ = 195416064000. Its totient is φ = 10839121920.

The previous prime is 47868259697. The next prime is 47868259837. The reversal of 47868259824 is 42895286874.

47868259824 is a `hidden beast` number, since 478 + 6 + 82 + 5 + 9 + 82 + 4 = 666.

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

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, 537845572 + ... + 537845660.

It is an arithmetic number, because the mean of its divisors is an integer number (152668800).

Almost surely, 2^47868259824 is an apocalyptic number.

47868259824 is a gapful number since it is divisible by the number (44) 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 47868259824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708032000).

47868259824 is an abundant number, since it is smaller than the sum of its proper divisors (147547804176).

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

47868259824 is a wasteful number, since it uses less digits than its factorization.

47868259824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 47868259824 in words is "forty-seven billion, eight hundred sixty-eight million, two hundred fifty-nine thousand, eight hundred twenty-four".