1668930480 has 200 divisors, whose sum is σ = 6624686112. Its totient is φ = 381459456.

The previous prime is 1668930457. The next prime is 1668930503. The reversal of 1668930480 is 840398661.

1668930480 is a `hidden beast` number, since 1 + 66 + 89 + 30 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1668930457) and next prime (1668930503).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 26964 + ... + 63756.

Almost surely, 2^1668930480 is an apocalyptic number.

1668930480 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 1668930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312343056).

1668930480 is an abundant number, since it is smaller than the sum of its proper divisors (4955755632).

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

1668930480 is a wasteful number, since it uses less digits than its factorization.

1668930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36825 (or 36810 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1668930480 is about 40852.5455755207. The cubic root of 1668930480 is about 1186.1676681318.

The spelling of 1668930480 in words is "one billion, six hundred sixty-eight million, nine hundred thirty thousand, four hundred eighty".