467081364968064 has 2304 divisors, whose sum is σ = 1817793295718400. Its totient is φ = 116719277875200.

The previous prime is 467081364968003. The next prime is 467081364968087. The reversal of 467081364968064 is 460869463180764.

467081364968064 is a `hidden beast` number, since 4 + 6 + 70 + 8 + 1 + 3 + 6 + 496 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 467081364967983 and 467081364968001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252886498789 + ... + 252886500635.

It is an arithmetic number, because the mean of its divisors is an integer number (788972784600).

Almost surely, 2^{467081364968064} is an apocalyptic number.

467081364968064 is a gapful number since it is divisible by the number (44) 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 467081364968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908896647859200).

467081364968064 is an abundant number, since it is smaller than the sum of its proper divisors (1350711930750336).

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

467081364968064 is a wasteful number, since it uses less digits than its factorization.

467081364968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 467081364968064 in words is "four hundred sixty-seven trillion, eighty-one billion, three hundred sixty-four million, nine hundred sixty-eight thousand, sixty-four".