47142470160 has 720 divisors, whose sum is σ = 181480455936. Its totient is φ = 10922287104.

The previous prime is 47142470129. The next prime is 47142470161. The reversal of 47142470160 is 6107424174.

It is a happy number.

47142470160 is a `hidden beast` number, since 4 + 7 + 1 + 424 + 70 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47142470161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207675967 + ... + 207676193.

Almost surely, 2^47142470160 is an apocalyptic number.

47142470160 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 47142470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90740227968).

47142470160 is an abundant number, since it is smaller than the sum of its proper divisors (134337985776).

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

47142470160 is a wasteful number, since it uses less digits than its factorization.

47142470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 47142470160 in words is "forty-seven billion, one hundred forty-two million, four hundred seventy thousand, one hundred sixty".