47742228817920 has 4608 divisors, whose sum is σ = 225015094886400. Its totient is φ = 9434371719168.

The previous prime is 47742228817879. The next prime is 47742228817951. The reversal of 47742228817920 is 2971882224774.

47742228817920 is a `hidden beast` number, since 47 + 7 + 422 + 2 + 8 + 81 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 383 ways as a sum of consecutive naturals, for example, 463516784589 + ... + 463516784691.

It is an arithmetic number, because the mean of its divisors is an integer number (48831400800).

Almost surely, 2^{47742228817920} is an apocalyptic number.

47742228817920 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 47742228817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112507547443200).

47742228817920 is an abundant number, since it is smaller than the sum of its proper divisors (177272866068480).

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

47742228817920 is a wasteful number, since it uses less digits than its factorization.

47742228817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 47742228817920 in words is "forty-seven trillion, seven hundred forty-two billion, two hundred twenty-eight million, eight hundred seventeen thousand, nine hundred twenty".