1063887468000 has 768 divisors, whose sum is σ = 4035109478400. Its totient is φ = 240031948800.

The previous prime is 1063887467917. The next prime is 1063887468029. The reversal of 1063887468000 is 8647883601.

It is a super-2 number, since 2×1063887468000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3954971866 + ... + 3954972134.

It is an arithmetic number, because the mean of its divisors is an integer number (5254048800).

Almost surely, 2^{1063887468000} is an apocalyptic number.

1063887468000 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 1063887468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017554739200).

1063887468000 is an abundant number, since it is smaller than the sum of its proper divisors (2971222010400).

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

1063887468000 is a wasteful number, since it uses less digits than its factorization.

1063887468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1063887468000 in words is "one trillion, sixty-three billion, eight hundred eighty-seven million, four hundred sixty-eight thousand".