47726838641664 has 1320 divisors, whose sum is σ = 179020966806528. Its totient is φ = 12553673932800.

The previous prime is 47726838641567. The next prime is 47726838641693. The reversal of 47726838641664 is 46614683862774.

47726838641664 is a `hidden beast` number, since 4 + 7 + 72 + 6 + 8 + 3 + 86 + 416 + 64 = 666.

It is a super-2 number, since 2×47726838641664² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47726838641592 and 47726838641601.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 24462755889 + ... + 24462757839.

Almost surely, 2^{47726838641664} 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 47726838641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510483403264).

47726838641664 is an abundant number, since it is smaller than the sum of its proper divisors (131294128164864).

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

47726838641664 is a wasteful number, since it uses less digits than its factorization.

47726838641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2439 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 47726838641664 in words is "forty-seven trillion, seven hundred twenty-six billion, eight hundred thirty-eight million, six hundred forty-one thousand, six hundred sixty-four".