472661360640 has 1008 divisors, whose sum is σ = 1978636802688. Its totient is φ = 105998450688.

The previous prime is 472661360627. The next prime is 472661360641. The reversal of 472661360640 is 46063166274.

It is a happy number.

472661360640 is a `hidden beast` number, since 4 + 7 + 26 + 6 + 13 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×472661360640² (a number of 24 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10176 × 8640 × 5376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472661360641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8918138854 + ... + 8918138906.

It is an arithmetic number, because the mean of its divisors is an integer number (1962933336).

Almost surely, 2^472661360640 is an apocalyptic number.

472661360640 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 472661360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989318401344).

472661360640 is an abundant number, since it is smaller than the sum of its proper divisors (1505975442048).

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

472661360640 is an frugal number, since it uses more digits than its factorization.

472661360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 472661360640 in words is "four hundred seventy-two billion, six hundred sixty-one million, three hundred sixty thousand, six hundred forty".