1668176640 has 576 divisors, whose sum is σ = 6593126400. Its totient is φ = 396804096.

The previous prime is 1668176639. The next prime is 1668176647. The reversal of 1668176640 is 466718661.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1668176647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21116121 + ... + 21116199.

It is an arithmetic number, because the mean of its divisors is an integer number (11446400).

Almost surely, 2^1668176640 is an apocalyptic number.

1668176640 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 1668176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296563200).

1668176640 is an abundant number, since it is smaller than the sum of its proper divisors (4924949760).

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

1668176640 is a wasteful number, since it uses less digits than its factorization.

1668176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1668176640 is about 40843.3181805788. The cubic root of 1668176640 is about 1185.9890476899.

The spelling of 1668176640 in words is "one billion, six hundred sixty-eight million, one hundred seventy-six thousand, six hundred forty".