468334714100760 has 192 divisors, whose sum is σ = 1690438909543200. Its totient is φ = 115282391118336.

The previous prime is 468334714100731. The next prime is 468334714100779. The reversal of 468334714100760 is 67001417433864.

It is a happy number.

468334714100760 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 3 + 471 + 4 + 100 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 468334714100697 and 468334714100706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282785687 + ... + 1283150726.

Almost surely, 2^{468334714100760} is an apocalyptic number.

468334714100760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468334714100760 is an abundant number, since it is smaller than the sum of its proper divisors (1222104195442440).

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

468334714100760 is a wasteful number, since it uses less digits than its factorization.

468334714100760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565936459 (or 2565936436 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 468334714100760 in words is "four hundred sixty-eight trillion, three hundred thirty-four billion, seven hundred fourteen million, one hundred thousand, seven hundred sixty".