468781424640 has 1344 divisors, whose sum is σ = 1884301885440. Its totient is φ = 107017666560.

The previous prime is 468781424597. The next prime is 468781424641. The reversal of 468781424640 is 46424187864.

468781424640 is a `hidden beast` number, since 4 + 6 + 87 + 81 + 424 + 64 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468781424641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3691192257 + ... + 3691192383.

Almost surely, 2^468781424640 is an apocalyptic number.

468781424640 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 468781424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942150942720).

468781424640 is an abundant number, since it is smaller than the sum of its proper divisors (1415520460800).

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

468781424640 is a wasteful number, since it uses less digits than its factorization.

468781424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 468781424640 in words is "four hundred sixty-eight billion, seven hundred eighty-one million, four hundred twenty-four thousand, six hundred forty".