47242168320 has 384 divisors, whose sum is σ = 157303036800. Its totient is φ = 12093751296.

The previous prime is 47242168313. The next prime is 47242168321. The reversal of 47242168320 is 2386124274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (47242168321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101160727 + ... + 101161193.

It is an arithmetic number, because the mean of its divisors is an integer number (409643325).

Almost surely, 2^47242168320 is an apocalyptic number.

47242168320 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 47242168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78651518400).

47242168320 is an abundant number, since it is smaller than the sum of its proper divisors (110060868480).

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

47242168320 is a wasteful number, since it uses less digits than its factorization.

47242168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 47242168320 in words is "forty-seven billion, two hundred forty-two million, one hundred sixty-eight thousand, three hundred twenty".