468966378240 has 432 divisors, whose sum is σ = 1756424325600. Its totient is φ = 118472564736.

The previous prime is 468966378239. The next prime is 468966378271. The reversal of 468966378240 is 42873669864.

468966378240 is a `hidden beast` number, since 468 + 9 + 6 + 63 + 78 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 12457366 + ... + 12494954.

It is an arithmetic number, because the mean of its divisors is an integer number (4065797050).

Almost surely, 2^468966378240 is an apocalyptic number.

468966378240 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 468966378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878212162800).

468966378240 is an abundant number, since it is smaller than the sum of its proper divisors (1287457947360).

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

468966378240 is a wasteful number, since it uses less digits than its factorization.

468966378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37657 (or 37618 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 468966378240 in words is "four hundred sixty-eight billion, nine hundred sixty-six million, three hundred seventy-eight thousand, two hundred forty".