47958636873680 has 40 divisors (see below), whose sum is σ = 120081048482472. Its totient is φ = 17707804383744.

The previous prime is 47958636873647. The next prime is 47958636873773. The reversal of 47958636873680 is 8637863685974.

It can be written as a sum of positive squares in 4 ways, for example, as 1704110933056 + 46254525940624 = 1305416^2 + 6801068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 47958636873595 and 47958636873604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23057035919 + ... + 23057037998.

Almost surely, 2^{47958636873680} is an apocalyptic number.

47958636873680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47958636873680 is an abundant number, since it is smaller than the sum of its proper divisors (72122411608792).

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

47958636873680 is a wasteful number, since it uses less digits than its factorization.

47958636873680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46114073943 (or 46114073937 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 80.

The spelling of 47958636873680 in words is "forty-seven trillion, nine hundred fifty-eight billion, six hundred thirty-six million, eight hundred seventy-three thousand, six hundred eighty".