1468718160 has 360 divisors, whose sum is σ = 5742891360. Its totient is φ = 309464064.

The previous prime is 1468718149. The next prime is 1468718197. The reversal of 1468718160 is 618178641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987071 + ... + 1987809.

It is an arithmetic number, because the mean of its divisors is an integer number (15952476).

Almost surely, 2^1468718160 is an apocalyptic number.

1468718160 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 1468718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871445680).

1468718160 is an abundant number, since it is smaller than the sum of its proper divisors (4274173200).

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

1468718160 is a wasteful number, since it uses less digits than its factorization.

1468718160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1468718160 is about 38323.8588871215. The cubic root of 1468718160 is about 1136.7007719127.

The spelling of 1468718160 in words is "one billion, four hundred sixty-eight million, seven hundred eighteen thousand, one hundred sixty".