47678323680960 has 224 divisors, whose sum is σ = 173012033187840. Its totient is φ = 10897409323008.

The previous prime is 47678323680887. The next prime is 47678323681019. The reversal of 47678323680960 is 6908632387674.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×47678323680960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160251057 + ... + 160548303.

It is an arithmetic number, because the mean of its divisors is an integer number (772375148160).

Almost surely, 2^{47678323680960} is an apocalyptic number.

47678323680960 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 47678323680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86506016593920).

47678323680960 is an abundant number, since it is smaller than the sum of its proper divisors (125333709506880).

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

47678323680960 is a wasteful number, since it uses less digits than its factorization.

47678323680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321143 (or 321133 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 47678323680960 in words is "forty-seven trillion, six hundred seventy-eight billion, three hundred twenty-three million, six hundred eighty thousand, nine hundred sixty".