468756910080 has 416 divisors, whose sum is σ = 1754236982400. Its totient is φ = 118420144128.

The previous prime is 468756910073. The next prime is 468756910087. The reversal of 468756910080 is 80019657864.

468756910080 is a `hidden beast` number, since 4 + 68 + 7 + 569 + 10 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (468756910073) and next prime (468756910087).

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 = 468756909999 and 468756910026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468756910087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10483932 + ... + 10528548.

Almost surely, 2^468756910080 is an apocalyptic number.

468756910080 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 468756910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877118491200).

468756910080 is an abundant number, since it is smaller than the sum of its proper divisors (1285480072320).

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

468756910080 is a wasteful number, since it uses less digits than its factorization.

468756910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44674 (or 44646 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 468756910080 in words is "four hundred sixty-eight billion, seven hundred fifty-six million, nine hundred ten thousand, eighty".