1468058628960 has 576 divisors, whose sum is σ = 6277403059200. Its totient is φ = 303513661440.

The previous prime is 1468058628941. The next prime is 1468058628973. The reversal of 1468058628960 is 698268508641.

1468058628960 is a `hidden beast` number, since 1 + 46 + 8 + 0 + 586 + 2 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×1468058628960² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 22031854 + ... + 22098386.

It is an arithmetic number, because the mean of its divisors is an integer number (10898269200).

Almost surely, 2^{1468058628960} is an apocalyptic number.

1468058628960 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 1468058628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138701529600).

1468058628960 is an abundant number, since it is smaller than the sum of its proper divisors (4809344430240).

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

1468058628960 is a wasteful number, since it uses less digits than its factorization.

1468058628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66771 (or 66760 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1468058628960 in words is "one trillion, four hundred sixty-eight billion, fifty-eight million, six hundred twenty-eight thousand, nine hundred sixty".