470906166717792 has 288 divisors, whose sum is σ = 1498085323102368. Its totient is φ = 144649845743616.

The previous prime is 470906166717703. The next prime is 470906166717799. The reversal of 470906166717792 is 297717661609074.

470906166717792 is a `hidden beast` number, since 470 + 9 + 0 + 6 + 1 + 6 + 67 + 1 + 7 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 470906166717792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470906166717799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56017378 + ... + 63872990.

It is an arithmetic number, because the mean of its divisors is an integer number (5201685149661).

Almost surely, 2^{470906166717792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470906166717792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749042661551184).

470906166717792 is an abundant number, since it is smaller than the sum of its proper divisors (1027179156384576).

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

470906166717792 is a wasteful number, since it uses less digits than its factorization.

470906166717792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856244 (or 7856224 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 470906166717792 in words is "four hundred seventy trillion, nine hundred six billion, one hundred sixty-six million, seven hundred seventeen thousand, seven hundred ninety-two".