472766112000 has 1728 divisors, whose sum is σ = 2188299859200. Its totient is φ = 99632332800.

The previous prime is 472766111989. The next prime is 472766112011. The reversal of 472766112000 is 211667274.

472766112000 is a `hidden beast` number, since 472 + 7 + 6 + 61 + 120 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (472766111989) and next prime (472766112011).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550367571 + ... + 550368429.

Almost surely, 2^472766112000 is an apocalyptic number.

472766112000 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 472766112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094149929600).

472766112000 is an abundant number, since it is smaller than the sum of its proper divisors (1715533747200).

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

472766112000 is a wasteful number, since it uses less digits than its factorization.

472766112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 472766112000 its reverse (211667274), we get a palindrome (472977779274).

The spelling of 472766112000 in words is "four hundred seventy-two billion, seven hundred sixty-six million, one hundred twelve thousand".