47867124602880 has 2304 divisors, whose sum is σ = 200288161382400. Its totient is φ = 10436310466560.

The previous prime is 47867124602821. The next prime is 47867124602887. The reversal of 47867124602880 is 8820642176874.

47867124602880 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 7 + 12 + 4 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47867124602887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73983190717 + ... + 73983191363.

It is an arithmetic number, because the mean of its divisors is an integer number (86930625600).

Almost surely, 2^{47867124602880} is an apocalyptic number.

47867124602880 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 47867124602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100144080691200).

47867124602880 is an abundant number, since it is smaller than the sum of its proper divisors (152421036779520).

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

47867124602880 is a wasteful number, since it uses less digits than its factorization.

47867124602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 47867124602880 in words is "forty-seven trillion, eight hundred sixty-seven billion, one hundred twenty-four million, six hundred two thousand, eight hundred eighty".