47879752336416 has 1440 divisors, whose sum is σ = 192679279752960. Its totient is φ = 11465382297600.

The previous prime is 47879752336331. The next prime is 47879752336439. The reversal of 47879752336416 is 61463325797874.

47879752336416 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 97 + 523 + 3 + 6 + 4 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25590459961 + ... + 25590461831.

It is an arithmetic number, because the mean of its divisors is an integer number (133805055384).

Almost surely, 2^{47879752336416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47879752336416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96339639876480).

47879752336416 is an abundant number, since it is smaller than the sum of its proper divisors (144799527416544).

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

47879752336416 is a wasteful number, since it uses less digits than its factorization.

47879752336416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3316 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 47879752336416 in words is "forty-seven trillion, eight hundred seventy-nine billion, seven hundred fifty-two million, three hundred thirty-six thousand, four hundred sixteen".