470951732160 has 1680 divisors, whose sum is σ = 2113189128960. Its totient is φ = 96160296960.

The previous prime is 470951732087. The next prime is 470951732179. The reversal of 470951732160 is 61237159074.

470951732160 is a `hidden beast` number, since 4 + 70 + 9 + 517 + 3 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 15191991345 + ... + 15191991375.

It is an arithmetic number, because the mean of its divisors is an integer number (1257850672).

Almost surely, 2^470951732160 is an apocalyptic number.

470951732160 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 470951732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056594564480).

470951732160 is an abundant number, since it is smaller than the sum of its proper divisors (1642237396800).

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

470951732160 is an equidigital number, since it uses as much as digits as its factorization.

470951732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 470951732160 in words is "four hundred seventy billion, nine hundred fifty-one million, seven hundred thirty-two thousand, one hundred sixty".