472419719675904 has 1536 divisors, whose sum is σ = 1812301995974400. Its totient is φ = 107303047004160.

The previous prime is 472419719675903. The next prime is 472419719675909. The reversal of 472419719675904 is 409576917914274.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472419719675903) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13087488384 + ... + 13087524480.

Almost surely, 2^{472419719675904} is an apocalyptic number.

472419719675904 is a gapful number since it is divisible by the number (44) 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 472419719675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906150997987200).

472419719675904 is an abundant number, since it is smaller than the sum of its proper divisors (1339882276298496).

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

472419719675904 is a wasteful number, since it uses less digits than its factorization.

472419719675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36187 (or 36152 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 75.

The spelling of 472419719675904 in words is "four hundred seventy-two trillion, four hundred nineteen billion, seven hundred nineteen million, six hundred seventy-five thousand, nine hundred four".