470272268854080 has 3528 divisors, whose sum is σ = 2240293018715136. Its totient is φ = 93463941795840.

The previous prime is 470272268854079. The next prime is 470272268854093. The reversal of 470272268854080 is 80458862272074.

470272268854080 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 7 + 2 + 2 + 6 + 8 + 8 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 470272268853999 and 470272268854017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 31811686369 + ... + 31811701151.

It is an arithmetic number, because the mean of its divisors is an integer number (635003690112).

Almost surely, 2^{470272268854080} is an apocalyptic number.

470272268854080 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 470272268854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120146509357568).

470272268854080 is an abundant number, since it is smaller than the sum of its proper divisors (1770020749861056).

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

470272268854080 is a wasteful number, since it uses less digits than its factorization.

470272268854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14877 (or 14834 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 470272268854080 in words is "four hundred seventy trillion, two hundred seventy-two billion, two hundred sixty-eight million, eight hundred fifty-four thousand, eighty".