472782744000 has 1568 divisors, whose sum is σ = 2067053479296. Its totient is φ = 104808038400.

The previous prime is 472782743981. The next prime is 472782744001. The reversal of 472782744000 is 447287274.

472782744000 is a `hidden beast` number, since 472 + 78 + 2 + 74 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472782744001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1510487844 + ... + 1510488156.

Almost surely, 2^472782744000 is an apocalyptic number.

472782744000 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 472782744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033526739648).

472782744000 is an abundant number, since it is smaller than the sum of its proper divisors (1594270735296).

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

472782744000 is an equidigital number, since it uses as much as digits as its factorization.

472782744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 472782744000 in words is "four hundred seventy-two billion, seven hundred eighty-two million, seven hundred forty-four thousand".