1679530379904 has 192 divisors, whose sum is σ = 5210770186440. Its totient is φ = 516185284608.

The previous prime is 1679530379897. The next prime is 1679530379929. The reversal of 1679530379904 is 4099730359761.

1679530379904 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 530 + 3 + 7 + 9 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918239229504 + 761291150400 = 958248^2 + 872520^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13070014 + ... + 13197890.

Almost surely, 2^{1679530379904} 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 1679530379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605385093220).

1679530379904 is an abundant number, since it is smaller than the sum of its proper divisors (3531239806536).

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

1679530379904 is a wasteful number, since it uses less digits than its factorization.

1679530379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128787 (or 128772 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 1679530379904 in words is "one trillion, six hundred seventy-nine billion, five hundred thirty million, three hundred seventy-nine thousand, nine hundred four".