468229830732960 has 1536 divisors, whose sum is σ = 1649289390981120. Its totient is φ = 111246981120000.

The previous prime is 468229830732907. The next prime is 468229830733019. The reversal of 468229830732960 is 69237038922864.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 568930535109 + ... + 568930535931.

It is an arithmetic number, because the mean of its divisors is an integer number (1073756113920).

Almost surely, 2^{468229830732960} is an apocalyptic number.

468229830732960 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 468229830732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824644695490560).

468229830732960 is an abundant number, since it is smaller than the sum of its proper divisors (1181059560248160).

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

468229830732960 is a wasteful number, since it uses less digits than its factorization.

468229830732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 468229830732960 in words is "four hundred sixty-eight trillion, two hundred twenty-nine billion, eight hundred thirty million, seven hundred thirty-two thousand, nine hundred sixty".