472684320000 has 540 divisors, whose sum is σ = 1803308647140. Its totient is φ = 118628352000.

The previous prime is 472684319953. The next prime is 472684320001. The reversal of 472684320000 is 23486274.

It can be written as a sum of positive squares in 10 ways, for example, as 384717505536 + 87966814464 = 620256^2 + 296592^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472684320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24470346 + ... + 24489654.

Almost surely, 2^472684320000 is an apocalyptic number.

472684320000 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 472684320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901654323570).

472684320000 is an abundant number, since it is smaller than the sum of its proper divisors (1330624327140).

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

472684320000 is a wasteful number, since it uses less digits than its factorization.

472684320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19368 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 472684320000 in words is "four hundred seventy-two billion, six hundred eighty-four million, three hundred twenty thousand".