47197750027680 has 1536 divisors, whose sum is σ = 211602585600000. Its totient is φ = 9775771213824.

The previous prime is 47197750027663. The next prime is 47197750027693. The reversal of 47197750027680 is 8672005779174.

47197750027680 is a `hidden beast` number, since 47 + 1 + 9 + 7 + 7 + 500 + 2 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 647492676 + ... + 647565564.

It is an arithmetic number, because the mean of its divisors is an integer number (137762100000).

Almost surely, 2^{47197750027680} is an apocalyptic number.

47197750027680 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 47197750027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105801292800000).

47197750027680 is an abundant number, since it is smaller than the sum of its proper divisors (164404835572320).

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

47197750027680 is a wasteful number, since it uses less digits than its factorization.

47197750027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72976 (or 72948 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 47197750027680 in words is "forty-seven trillion, one hundred ninety-seven billion, seven hundred fifty million, twenty-seven thousand, six hundred eighty".