468759786374880 has 1440 divisors, whose sum is σ = 2238028174210752. Its totient is φ = 89911939645440.

The previous prime is 468759786374861. The next prime is 468759786374903. The reversal of 468759786374880 is 88473687957864.

It is a happy number.

468759786374880 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 5 + 97 + 8 + 6 + 37 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141060124 + ... + 144344996.

Almost surely, 2^{468759786374880} is an apocalyptic number.

468759786374880 is a gapful number since it is divisible by the number (40) 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 468759786374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119014087105376).

468759786374880 is an abundant number, since it is smaller than the sum of its proper divisors (1769268387835872).

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

468759786374880 is a wasteful number, since it uses less digits than its factorization.

468759786374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284942 (or 3284914 counting only the distinct ones).

The product of its (nonzero) digits is 109247201280, while the sum is 90.

The spelling of 468759786374880 in words is "four hundred sixty-eight trillion, seven hundred fifty-nine billion, seven hundred eighty-six million, three hundred seventy-four thousand, eight hundred eighty".