1679610968280 has 320 divisors, whose sum is σ = 6453408075840. Its totient is φ = 383817719808.

The previous prime is 1679610968261. The next prime is 1679610968309. The reversal of 1679610968280 is 828690169761.

1679610968280 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 610 + 9 + 6 + 8 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 144080212 + ... + 144091868.

It is an arithmetic number, because the mean of its divisors is an integer number (20166900237).

Almost surely, 2^{1679610968280} is an apocalyptic number.

1679610968280 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 1679610968280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226704037920).

1679610968280 is an abundant number, since it is smaller than the sum of its proper divisors (4773797107560).

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

1679610968280 is a wasteful number, since it uses less digits than its factorization.

1679610968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18040 (or 18027 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1679610968280 in words is "one trillion, six hundred seventy-nine billion, six hundred ten million, nine hundred sixty-eight thousand, two hundred eighty".