472585266720 has 1728 divisors, whose sum is σ = 2049779571840. Its totient is φ = 98625945600.

The previous prime is 472585266697. The next prime is 472585266743. The reversal of 472585266720 is 27662585274.

472585266720 is a `hidden beast` number, since 4 + 7 + 2 + 58 + 526 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472585266697) and next prime (472585266743).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3607521055 + ... + 3607521185.

It is an arithmetic number, because the mean of its divisors is an integer number (1186215030).

Almost surely, 2^472585266720 is an apocalyptic number.

472585266720 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 472585266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024889785920).

472585266720 is an abundant number, since it is smaller than the sum of its proper divisors (1577194305120).

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

472585266720 is a wasteful number, since it uses less digits than its factorization.

472585266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 472585266720 in words is "four hundred seventy-two billion, five hundred eighty-five million, two hundred sixty-six thousand, seven hundred twenty".