47839672431360 has 1152 divisors, whose sum is σ = 175763802009600. Its totient is φ = 12315171225600.

The previous prime is 47839672431311. The next prime is 47839672431367. The reversal of 47839672431360 is 6313427693874.

It is a happy number.

47839672431360 is a `hidden beast` number, since 4 + 7 + 8 + 396 + 72 + 43 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×47839672431360² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47839672431367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39833198760 + ... + 39833199960.

It is an arithmetic number, because the mean of its divisors is an integer number (152572744800).

Almost surely, 2^{47839672431360} is an apocalyptic number.

47839672431360 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 47839672431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87881901004800).

47839672431360 is an abundant number, since it is smaller than the sum of its proper divisors (127924129578240).

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

47839672431360 is a wasteful number, since it uses less digits than its factorization.

47839672431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 47839672431360 in words is "forty-seven trillion, eight hundred thirty-nine billion, six hundred seventy-two million, four hundred thirty-one thousand, three hundred sixty".