467688487968 has 144 divisors (see below), whose sum is σ = 1451917335960. Its totient is φ = 141932777472.

The previous prime is 467688487939. The next prime is 467688488017. The reversal of 467688487968 is 869784886764.

467688487968 is a `hidden beast` number, since 4 + 6 + 76 + 8 + 8 + 487 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419142297744 + 48546190224 = 647412^2 + 220332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×467688487968³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582283 + ... + 1128906.

Almost surely, 2^467688487968 is an apocalyptic number.

467688487968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

467688487968 is an abundant number, since it is smaller than the sum of its proper divisors (984228847992).

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

467688487968 is a wasteful number, since it uses less digits than its factorization.

467688487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711291 (or 1711280 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 467688487968 in words is "four hundred sixty-seven billion, six hundred eighty-eight million, four hundred eighty-seven thousand, nine hundred sixty-eight".