469195786176768 has 432 divisors, whose sum is σ = 1583893473716736. Its totient is φ = 130776431984640.

The previous prime is 469195786176757. The next prime is 469195786176839. The reversal of 469195786176768 is 867671687591964.

469195786176768 is a `hidden beast` number, since 4 + 6 + 9 + 19 + 578 + 6 + 17 + 6 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16281895096 + ... + 16281923912.

It is an arithmetic number, because the mean of its divisors is an integer number (3666420078048).

Almost surely, 2^{469195786176768} is an apocalyptic number.

469195786176768 is a gapful number since it is divisible by the number (48) 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 469195786176768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791946736858368).

469195786176768 is an abundant number, since it is smaller than the sum of its proper divisors (1114697687539968).

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

469195786176768 is a wasteful number, since it uses less digits than its factorization.

469195786176768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53510 (or 53493 counting only the distinct ones).

The product of its digits is 46088663040, while the sum is 90.

The spelling of 469195786176768 in words is "four hundred sixty-nine trillion, one hundred ninety-five billion, seven hundred eighty-six million, one hundred seventy-six thousand, seven hundred sixty-eight".