47538247680 has 1728 divisors, whose sum is σ = 223518204000. Its totient is φ = 9537454080.

The previous prime is 47538247661. The next prime is 47538247727. The reversal of 47538247680 is 8674283574.

47538247680 is a `hidden beast` number, since 4 + 7 + 538 + 2 + 47 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1639249906 + ... + 1639249934.

Almost surely, 2^47538247680 is an apocalyptic number.

47538247680 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 47538247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759102000).

47538247680 is an abundant number, since it is smaller than the sum of its proper divisors (175979956320).

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

47538247680 is a wasteful number, since it uses less digits than its factorization.

47538247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 47538247680 in words is "forty-seven billion, five hundred thirty-eight million, two hundred forty-seven thousand, six hundred eighty".