468200010960 has 960 divisors, whose sum is σ = 1878119792640. Its totient is φ = 103265280000.

The previous prime is 468200010953. The next prime is 468200011001. The reversal of 468200010960 is 69010002864.

It is a super-2 number, since 2×468200010960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 779034660 + ... + 779035260.

It is an arithmetic number, because the mean of its divisors is an integer number (1956374784).

Almost surely, 2^468200010960 is an apocalyptic number.

468200010960 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 468200010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939059896320).

468200010960 is an abundant number, since it is smaller than the sum of its proper divisors (1409919781680).

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

468200010960 is a wasteful number, since it uses less digits than its factorization.

468200010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 468200010960 in words is "four hundred sixty-eight billion, two hundred million, ten thousand, nine hundred sixty".