47942439874560 has 3120 divisors, whose sum is σ = 218290215528000. Its totient is φ = 9851995422720.

The previous prime is 47942439874559. The next prime is 47942439874649. The reversal of 47942439874560 is 6547893424974.

47942439874560 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 24 + 39 + 8 + 7 + 4 + 560 = 666.

It is a super-2 number, since 2×47942439874560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 209355632526 + ... + 209355632754.

Almost surely, 2^{47942439874560} is an apocalyptic number.

47942439874560 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 47942439874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109145107764000).

47942439874560 is an abundant number, since it is smaller than the sum of its proper divisors (170347775653440).

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

47942439874560 is a wasteful number, since it uses less digits than its factorization.

47942439874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 47942439874560 in words is "forty-seven trillion, nine hundred forty-two billion, four hundred thirty-nine million, eight hundred seventy-four thousand, five hundred sixty".