47601328320 has 1512 divisors, whose sum is σ = 219790286352. Its totient is φ = 9719377920.

The previous prime is 47601328303. The next prime is 47601328331. The reversal of 47601328320 is 2382310674.

It is a happy number.

47601328320 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 1 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1535526705 + ... + 1535526735.

It is an arithmetic number, because the mean of its divisors is an integer number (145363946).

Almost surely, 2^47601328320 is an apocalyptic number.

47601328320 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 47601328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109895143176).

47601328320 is an abundant number, since it is smaller than the sum of its proper divisors (172188958032).

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

47601328320 is a wasteful number, since it uses less digits than its factorization.

47601328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 47601328320 its reverse (2382310674), we get a palindrome (49983638994).

The spelling of 47601328320 in words is "forty-seven billion, six hundred one million, three hundred twenty-eight thousand, three hundred twenty".