1468661760 has 288 divisors, whose sum is σ = 5284802880. Its totient is φ = 386924544.

The previous prime is 1468661717. The next prime is 1468661809. The reversal of 1468661760 is 671668641.

It is a tau number, because it is divible by the number of its divisors (288).

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 15 ways as a sum of consecutive naturals, for example, 17694679 + ... + 17694761.

It is an arithmetic number, because the mean of its divisors is an integer number (18350010).

Almost surely, 2^1468661760 is an apocalyptic number.

1468661760 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 1468661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642401440).

1468661760 is an abundant number, since it is smaller than the sum of its proper divisors (3816141120).

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

1468661760 is an frugal number, since it uses more digits than its factorization.

1468661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

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

The square root of 1468661760 is about 38323.1230460149. The cubic root of 1468661760 is about 1136.6862216412.

The spelling of 1468661760 in words is "one billion, four hundred sixty-eight million, six hundred sixty-one thousand, seven hundred sixty".