468686272000 has 320 divisors, whose sum is σ = 1258973134848. Its totient is φ = 173521920000.

The previous prime is 468686271973. The next prime is 468686272001. The reversal of 468686272000 is 272686864.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×468686272000² (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 (468686272001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45626865 + ... + 45637135.

Almost surely, 2^468686272000 is an apocalyptic number.

468686272000 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 468686272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629486567424).

468686272000 is an abundant number, since it is smaller than the sum of its proper divisors (790286862848).

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

468686272000 is a wasteful number, since it uses less digits than its factorization.

468686272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 468686272000 in words is "four hundred sixty-eight billion, six hundred eighty-six million, two hundred seventy-two thousand".