468687943680 has 576 divisors, whose sum is σ = 1745324249760. Its totient is φ = 106923294720.

The previous prime is 468687943673. The next prime is 468687943733. The reversal of 468687943680 is 86349786864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63187332 + ... + 63194748.

Almost surely, 2^468687943680 is an apocalyptic number.

468687943680 is a gapful number since it is divisible by the number (40) 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 468687943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872662124880).

468687943680 is an abundant number, since it is smaller than the sum of its proper divisors (1276636306080).

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

468687943680 is a wasteful number, since it uses less digits than its factorization.

468687943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 468687943680 in words is "four hundred sixty-eight billion, six hundred eighty-seven million, nine hundred forty-three thousand, six hundred eighty".