1667245680 has 200 divisors, whose sum is σ = 5813569872. Its totient is φ = 442838016.

The previous prime is 1667245513. The next prime is 1667245729. The reversal of 1667245680 is 865427661.

1667245680 is a `hidden beast` number, since 1 + 6 + 67 + 24 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2961079 + ... + 2961641.

Almost surely, 2^1667245680 is an apocalyptic number.

1667245680 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 1667245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906784936).

1667245680 is an abundant number, since it is smaller than the sum of its proper divisors (4146324192).

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

1667245680 is a wasteful number, since it uses less digits than its factorization.

1667245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1667245680 is about 40831.9198666925. The cubic root of 1667245680 is about 1185.7683848434.

The spelling of 1667245680 in words is "one billion, six hundred sixty-seven million, two hundred forty-five thousand, six hundred eighty".