1667879670960 has 240 divisors, whose sum is σ = 5931953857440. Its totient is φ = 418522521600.

The previous prime is 1667879670949. The next prime is 1667879670991. The reversal of 1667879670960 is 690769787661.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82964910 + ... + 82985010.

It is an arithmetic number, because the mean of its divisors is an integer number (24716474406).

Almost surely, 2^{1667879670960} is an apocalyptic number.

1667879670960 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 1667879670960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965976928720).

1667879670960 is an abundant number, since it is smaller than the sum of its proper divisors (4264074186480).

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

1667879670960 is a wasteful number, since it uses less digits than its factorization.

1667879670960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26916 (or 26907 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 1667879670960 in words is "one trillion, six hundred sixty-seven billion, eight hundred seventy-nine million, six hundred seventy thousand, nine hundred sixty".