47586289712640 has 640 divisors, whose sum is σ = 177266766200832. Its totient is φ = 10664023818240.

The previous prime is 47586289712579. The next prime is 47586289712711. The reversal of 47586289712640 is 4621798268574.

47586289712640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4618677729 + ... + 4618688031.

Almost surely, 2^{47586289712640} is an apocalyptic number.

47586289712640 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 47586289712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88633383100416).

47586289712640 is an abundant number, since it is smaller than the sum of its proper divisors (129680476488192).

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

47586289712640 is a wasteful number, since it uses less digits than its factorization.

47586289712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 47586289712640 in words is "forty-seven trillion, five hundred eighty-six billion, two hundred eighty-nine million, seven hundred twelve thousand, six hundred forty".