1468618560 has 448 divisors, whose sum is σ = 5471769600. Its totient is φ = 370427904.

The previous prime is 1468618537. The next prime is 1468618561. The reversal of 1468618560 is 658168641.

1468618560 is a `hidden beast` number, since 1 + 4 + 6 + 86 + 1 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468618561) 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, 21919647 + ... + 21919713.

Almost surely, 2^1468618560 is an apocalyptic number.

1468618560 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 1468618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735884800).

1468618560 is an abundant number, since it is smaller than the sum of its proper divisors (4003151040).

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

1468618560 is a wasteful number, since it uses less digits than its factorization.

1468618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1468618560 is about 38322.5594134839. The cubic root of 1468618560 is about 1136.6750765004.

The spelling of 1468618560 in words is "one billion, four hundred sixty-eight million, six hundred eighteen thousand, five hundred sixty".