472711604000 has 96 divisors (see below), whose sum is σ = 1161676794096. Its totient is φ = 189048115200.

The previous prime is 472711603943. The next prime is 472711604039. The reversal of 472711604000 is 406117274.

It can be written as a sum of positive squares in 8 ways, for example, as 49623799696 + 423087804304 = 222764^2 + 650452^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31724552 + ... + 31739448.

Almost surely, 2^472711604000 is an apocalyptic number.

472711604000 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 472711604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580838397048).

472711604000 is an abundant number, since it is smaller than the sum of its proper divisors (688965190096).

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

472711604000 is a wasteful number, since it uses less digits than its factorization.

472711604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22855 (or 22837 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 472711604000 in words is "four hundred seventy-two billion, seven hundred eleven million, six hundred four thousand".