47730795480 has 320 divisors, whose sum is σ = 169143828480. Its totient is φ = 12054355200.

The previous prime is 47730795439. The next prime is 47730795487. The reversal of 47730795480 is 8459703774.

47730795480 is a `hidden beast` number, since 4 + 7 + 73 + 0 + 7 + 95 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47730795487) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4715625 + ... + 4725735.

It is an arithmetic number, because the mean of its divisors is an integer number (528574464).

Almost surely, 2^47730795480 is an apocalyptic number.

47730795480 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 47730795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84571914240).

47730795480 is an abundant number, since it is smaller than the sum of its proper divisors (121413033000).

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

47730795480 is a wasteful number, since it uses less digits than its factorization.

47730795480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 47730795480 in words is "forty-seven billion, seven hundred thirty million, seven hundred ninety-five thousand, four hundred eighty".