1679873663232 has 432 divisors, whose sum is σ = 5197419427200. Its totient is φ = 520238039040.

The previous prime is 1679873663231. The next prime is 1679873663249. The reversal of 1679873663232 is 2323663789761.

1679873663232 is a `hidden beast` number, since 167 + 9 + 87 + 366 + 3 + 2 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1679873663232.

It is not an unprimeable number, because it can be changed into a prime (1679873663231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172276788 + ... + 1172278220.

Almost surely, 2^{1679873663232} is an apocalyptic number.

1679873663232 is a gapful number since it is divisible by the number (12) 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 1679873663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598709713600).

1679873663232 is an abundant number, since it is smaller than the sum of its proper divisors (3517545763968).

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

1679873663232 is a wasteful number, since it uses less digits than its factorization.

1679873663232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1957 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 1679873663232 in words is "one trillion, six hundred seventy-nine billion, eight hundred seventy-three million, six hundred sixty-three thousand, two hundred thirty-two".