467497675709568 has 1536 divisors, whose sum is σ = 1702303948800000. Its totient is φ = 127414962081792.

The previous prime is 467497675709551. The next prime is 467497675709651. The reversal of 467497675709568 is 865907576794764.

467497675709568 is a `hidden beast` number, since 4 + 6 + 7 + 497 + 6 + 7 + 57 + 0 + 9 + 5 + 68 = 666.

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 191 ways as a sum of consecutive naturals, for example, 97415641633 + ... + 97415646431.

It is an arithmetic number, because the mean of its divisors is an integer number (1108270800000).

Almost surely, 2^{467497675709568} is an apocalyptic number.

467497675709568 is a gapful number since it is divisible by the number (48) 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 467497675709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851151974400000).

467497675709568 is an abundant number, since it is smaller than the sum of its proper divisors (1234806273090432).

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

467497675709568 is an equidigital number, since it uses as much as digits as its factorization.

467497675709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 134425267200, while the sum is 90.

The spelling of 467497675709568 in words is "four hundred sixty-seven trillion, four hundred ninety-seven billion, six hundred seventy-five million, seven hundred nine thousand, five hundred sixty-eight".