1667663360 has 80 divisors (see below), whose sum is σ = 4362055632. Its totient is φ = 606412800.

The previous prime is 1667663359. The next prime is 1667663411. The reversal of 1667663360 is 633667661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1667663360² = 5562202164572979200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1451 + ... + 57770.

Almost surely, 2^1667663360 is an apocalyptic number.

1667663360 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 1667663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181027816).

1667663360 is an abundant number, since it is smaller than the sum of its proper divisors (2694392272).

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

1667663360 is an equidigital number, since it uses as much as digits as its factorization.

1667663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59255 (or 59239 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 44.

The square root of 1667663360 is about 40837.0341724274. The cubic root of 1667663360 is about 1185.8673965231.

The spelling of 1667663360 in words is "one billion, six hundred sixty-seven million, six hundred sixty-three thousand, three hundred sixty".