47686008960 has 384 divisors, whose sum is σ = 173692209600. Its totient is φ = 12498333696.

The previous prime is 47686008913. The next prime is 47686008977. The reversal of 47686008960 is 6980068674.

47686008960 is a `hidden beast` number, since 476 + 86 + 0 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 47686008897 and 47686008906.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9173082 + ... + 9178278.

Almost surely, 2^47686008960 is an apocalyptic number.

47686008960 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 47686008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86846104800).

47686008960 is an abundant number, since it is smaller than the sum of its proper divisors (126006200640).

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

47686008960 is an equidigital number, since it uses as much as digits as its factorization.

47686008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47686008960 in words is "forty-seven billion, six hundred eighty-six million, eight thousand, nine hundred sixty".