468936512755704 has 64 divisors (see below), whose sum is σ = 1488687342086400. Its totient is φ = 133981860786912.

The previous prime is 468936512755699. The next prime is 468936512755709. The reversal of 468936512755704 is 407557215639864.

468936512755704 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 3 + 65 + 1 + 2 + 7 + 557 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (468936512755699) and next prime (468936512755709).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468936512755709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155071596622 + ... + 155071599645.

It is an arithmetic number, because the mean of its divisors is an integer number (23260739720100).

It is a 1-persistent number, because it is pandigital, but 2⋅468936512755704 = 937873025511408 is not.

Almost surely, 2^{468936512755704} is an apocalyptic number.

It is an amenable number.

468936512755704 is an abundant number, since it is smaller than the sum of its proper divisors (1019750829330696).

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

468936512755704 is a wasteful number, since it uses less digits than its factorization.

468936512755704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310143196289 (or 310143196279 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 468936512755704 in words is "four hundred sixty-eight trillion, nine hundred thirty-six billion, five hundred twelve million, seven hundred fifty-five thousand, seven hundred four".