4886971761672 has 896 divisors, whose sum is σ = 19417136256000. Its totient is φ = 1110007825920.

The previous prime is 4886971761643. The next prime is 4886971761673. The reversal of 4886971761672 is 2761671796884.

4886971761672 is a `hidden beast` number, since 488 + 6 + 9 + 7 + 1 + 76 + 1 + 6 + 72 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 4886971761672.

It is not an unprimeable number, because it can be changed into a prime (4886971761673) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 110896779 + ... + 110940837.

It is an arithmetic number, because the mean of its divisors is an integer number (21670911000).

Almost surely, 2^{4886971761672} is an apocalyptic number.

4886971761672 is a gapful number since it is divisible by the number (42) 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 4886971761672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9708568128000).

4886971761672 is an abundant number, since it is smaller than the sum of its proper divisors (14530164494328).

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

4886971761672 is a wasteful number, since it uses less digits than its factorization.

4886971761672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44133 (or 44114 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 4886971761672 in words is "four trillion, eight hundred eighty-six billion, nine hundred seventy-one million, seven hundred sixty-one thousand, six hundred seventy-two".