1679066257440 has 576 divisors, whose sum is σ = 6430110559488. Its totient is φ = 365574021120.

The previous prime is 1679066257433. The next prime is 1679066257459. The reversal of 1679066257440 is 447526609761.

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, 27906429 + ... + 27966531.

It is an arithmetic number, because the mean of its divisors is an integer number (11163386388).

Almost surely, 2^{1679066257440} is an apocalyptic number.

1679066257440 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 1679066257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215055279744).

1679066257440 is an abundant number, since it is smaller than the sum of its proper divisors (4751044302048).

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

1679066257440 is a wasteful number, since it uses less digits than its factorization.

1679066257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60193 (or 60174 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 1679066257440 in words is "one trillion, six hundred seventy-nine billion, sixty-six million, two hundred fifty-seven thousand, four hundred forty".