468280700160 has 1152 divisors, whose sum is σ = 1952224727040. Its totient is φ = 92897280000.

The previous prime is 468280700101. The next prime is 468280700161. The reversal of 468280700160 is 61007082864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468280700161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1666479220 + ... + 1666479500.

It is an arithmetic number, because the mean of its divisors is an integer number (1694639520).

Almost surely, 2^468280700160 is an apocalyptic number.

468280700160 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 468280700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976112363520).

468280700160 is an abundant number, since it is smaller than the sum of its proper divisors (1483944026880).

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

468280700160 is a wasteful number, since it uses less digits than its factorization.

468280700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 468280700160 in words is "four hundred sixty-eight billion, two hundred eighty million, seven hundred thousand, one hundred sixty".