1468726560 has 384 divisors, whose sum is σ = 6222666240. Its totient is φ = 315850752.

The previous prime is 1468726531. The next prime is 1468726573. The reversal of 1468726560 is 656278641.

1468726560 is a `hidden beast` number, since 1 + 4 + 6 + 87 + 2 + 6 + 560 = 666.

1468726560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 512652 + ... + 515508.

It is an arithmetic number, because the mean of its divisors is an integer number (16204860).

Almost surely, 2^1468726560 is an apocalyptic number.

1468726560 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 1468726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111333120).

1468726560 is an abundant number, since it is smaller than the sum of its proper divisors (4753939680).

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

1468726560 is a wasteful number, since it uses less digits than its factorization.

1468726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1468726560 is about 38323.9684792689. The cubic root of 1468726560 is about 1136.7029389426.

The spelling of 1468726560 in words is "one billion, four hundred sixty-eight million, seven hundred twenty-six thousand, five hundred sixty".