47580984360 has 1024 divisors, whose sum is σ = 203664384000. Its totient is φ = 9735054336.

The previous prime is 47580984359. The next prime is 47580984377. The reversal of 47580984360 is 6348908574.

47580984360 is a `hidden beast` number, since 47 + 5 + 80 + 98 + 436 + 0 = 666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 47580984297 and 47580984306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 342309171 + ... + 342309309.

It is an arithmetic number, because the mean of its divisors is an integer number (198891000).

Almost surely, 2^47580984360 is an apocalyptic number.

47580984360 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 47580984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101832192000).

47580984360 is an abundant number, since it is smaller than the sum of its proper divisors (156083399640).

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

47580984360 is a wasteful number, since it uses less digits than its factorization.

47580984360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 47580984360 in words is "forty-seven billion, five hundred eighty million, nine hundred eighty-four thousand, three hundred sixty".