47832459360 has 864 divisors, whose sum is σ = 193041128448. Its totient is φ = 9914204160.

The previous prime is 47832459313. The next prime is 47832459403. The reversal of 47832459360 is 6395423874.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 210715567 + ... + 210715793.

It is an arithmetic number, because the mean of its divisors is an integer number (223427232).

Almost surely, 2^47832459360 is an apocalyptic number.

47832459360 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 47832459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96520564224).

47832459360 is an abundant number, since it is smaller than the sum of its proper divisors (145208669088).

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

47832459360 is a wasteful number, since it uses less digits than its factorization.

47832459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 47832459360 in words is "forty-seven billion, eight hundred thirty-two million, four hundred fifty-nine thousand, three hundred sixty".