1468475386560 has 3360 divisors, whose sum is σ = 7157589626880. Its totient is φ = 282175488000.

The previous prime is 1468475386549. The next prime is 1468475386621. The reversal of 1468475386560 is 656835748641.

1468475386560 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 47 + 538 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9725002485 + ... + 9725002635.

It is an arithmetic number, because the mean of its divisors is an integer number (2130235008).

Almost surely, 2^{1468475386560} is an apocalyptic number.

1468475386560 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 1468475386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578794813440).

1468475386560 is an abundant number, since it is smaller than the sum of its proper divisors (5689114240320).

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

1468475386560 is a wasteful number, since it uses less digits than its factorization.

1468475386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 1468475386560 in words is "one trillion, four hundred sixty-eight billion, four hundred seventy-five million, three hundred eighty-six thousand, five hundred sixty".