1668962880 has 504 divisors, whose sum is σ = 6497068032. Its totient is φ = 407586816.

The previous prime is 1668962873. The next prime is 1668962881. The reversal of 1668962880 is 882698661.

It is a happy number.

1668962880 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1668962881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141377 + ... + 13141503.

It is an arithmetic number, because the mean of its divisors is an integer number (12891008).

Almost surely, 2^1668962880 is an apocalyptic number.

1668962880 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 1668962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248534016).

1668962880 is an abundant number, since it is smaller than the sum of its proper divisors (4828105152).

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

1668962880 is a wasteful number, since it uses less digits than its factorization.

1668962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1668962880 is about 40852.9421217126. The cubic root of 1668962880 is about 1186.1753440225.

The spelling of 1668962880 in words is "one billion, six hundred sixty-eight million, nine hundred sixty-two thousand, eight hundred eighty".