1679727222100 has 288 divisors, whose sum is σ = 4024542412800. Its totient is φ = 606110169600.

The previous prime is 1679727222079. The next prime is 1679727222137. The reversal of 1679727222100 is 12227279761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2172997314 + ... + 2172998086.

It is an arithmetic number, because the mean of its divisors is an integer number (13974105600).

Almost surely, 2^{1679727222100} is an apocalyptic number.

1679727222100 is a gapful number since it is divisible by the number (10) 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 1679727222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012271206400).

1679727222100 is an abundant number, since it is smaller than the sum of its proper divisors (2344815190700).

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

1679727222100 is a wasteful number, since it uses less digits than its factorization.

1679727222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The spelling of 1679727222100 in words is "one trillion, six hundred seventy-nine billion, seven hundred twenty-seven million, two hundred twenty-two thousand, one hundred".