470829324672 has 480 divisors, whose sum is σ = 1640604287520. Its totient is φ = 133643188224.

The previous prime is 470829324619. The next prime is 470829324673. The reversal of 470829324672 is 276423928074.

470829324672 is a `hidden beast` number, since 4 + 70 + 82 + 9 + 32 + 467 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470829324673) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79758073 + ... + 79763975.

It is an arithmetic number, because the mean of its divisors is an integer number (3417925599).

Almost surely, 2^470829324672 is an apocalyptic number.

470829324672 is a gapful number since it is divisible by the number (42) 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 470829324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820302143760).

470829324672 is an abundant number, since it is smaller than the sum of its proper divisors (1169774962848).

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

470829324672 is a wasteful number, since it uses less digits than its factorization.

470829324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 470829324672 in words is "four hundred seventy billion, eight hundred twenty-nine million, three hundred twenty-four thousand, six hundred seventy-two".