47830872320 has 288 divisors, whose sum is σ = 144672030720. Its totient is φ = 14717214720.

The previous prime is 47830872311. The next prime is 47830872329. The reversal of 47830872320 is 2327803874.

It is an interprime number because it is at equal distance from previous prime (47830872311) and next prime (47830872329).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (47830872329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7783169 + ... + 7789311.

It is an arithmetic number, because the mean of its divisors is an integer number (502333440).

Almost surely, 2^47830872320 is an apocalyptic number.

47830872320 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 47830872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72336015360).

47830872320 is an abundant number, since it is smaller than the sum of its proper divisors (96841158400).

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

47830872320 is a wasteful number, since it uses less digits than its factorization.

47830872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 47830872320 in words is "forty-seven billion, eight hundred thirty million, eight hundred seventy-two thousand, three hundred twenty".