47680925907680 has 192 divisors, whose sum is σ = 122038654510080. Its totient is φ = 17500018305024.

The previous prime is 47680925907679. The next prime is 47680925907731. The reversal of 47680925907680 is 8670952908674.

It is a congruent number.

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, 234249791 + ... + 234453249.

It is an arithmetic number, because the mean of its divisors is an integer number (635617992240).

Almost surely, 2^{47680925907680} is an apocalyptic number.

47680925907680 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 47680925907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61019327255040).

47680925907680 is an abundant number, since it is smaller than the sum of its proper divisors (74357728602400).

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

47680925907680 is a wasteful number, since it uses less digits than its factorization.

47680925907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204161 (or 204153 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 71.

The spelling of 47680925907680 in words is "forty-seven trillion, six hundred eighty billion, nine hundred twenty-five million, nine hundred seven thousand, six hundred eighty".