47584788480 has 360 divisors, whose sum is σ = 166261592952. Its totient is φ = 12589203456.

The previous prime is 47584788479. The next prime is 47584788509. The reversal of 47584788480 is 8488748574.

47584788480 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 478 + 84 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 47572844544 = 3456^2 + 218112^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171786102 + ... + 171786378.

Almost surely, 2^47584788480 is an apocalyptic number.

47584788480 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 47584788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83130796476).

47584788480 is an abundant number, since it is smaller than the sum of its proper divisors (118676804472).

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

47584788480 is a wasteful number, since it uses less digits than its factorization.

47584788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 47584788480 in words is "forty-seven billion, five hundred eighty-four million, seven hundred eighty-eight thousand, four hundred eighty".