468434368960 has 224 divisors, whose sum is σ = 1207821523392. Its totient is φ = 172382945280.

The previous prime is 468434368937. The next prime is 468434368967. The reversal of 468434368960 is 69863434864.

It is a happy number.

It is a super-2 number, since 2×468434368960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468434368967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81591690 + ... + 81597430.

Almost surely, 2^468434368960 is an apocalyptic number.

468434368960 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 468434368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603910761696).

468434368960 is an abundant number, since it is smaller than the sum of its proper divisors (739387154432).

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

468434368960 is a wasteful number, since it uses less digits than its factorization.

468434368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 61.

The spelling of 468434368960 in words is "four hundred sixty-eight billion, four hundred thirty-four million, three hundred sixty-eight thousand, nine hundred sixty".