1668747360 has 384 divisors, whose sum is σ = 6383591424. Its totient is φ = 358318080.

The previous prime is 1668747349. The next prime is 1668747373. The reversal of 1668747360 is 637478661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3853704 + ... + 3854136.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2^1668747360 is an apocalyptic number.

1668747360 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 1668747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191795712).

1668747360 is an abundant number, since it is smaller than the sum of its proper divisors (4714844064).

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

1668747360 is a wasteful number, since it uses less digits than its factorization.

1668747360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 1668747360 is about 40850.3042828325. The cubic root of 1668747360 is about 1186.1242832673.

The spelling of 1668747360 in words is "one billion, six hundred sixty-eight million, seven hundred forty-seven thousand, three hundred sixty".