4471695360 has 432 divisors, whose sum is σ = 17077575060. Its totient is φ = 1081344000.

The previous prime is 4471695343. The next prime is 4471695367. The reversal of 4471695360 is 635961744.

4471695360 is a `hidden beast` number, since 44 + 71 + 6 + 9 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4149421056 + 322274304 = 64416^2 + 17952^2 .

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 (4471695367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151160 + ... + 11151560.

Almost surely, 2^4471695360 is an apocalyptic number.

4471695360 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 4471695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538787530).

4471695360 is an abundant number, since it is smaller than the sum of its proper divisors (12605879700).

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

4471695360 is a wasteful number, since it uses less digits than its factorization.

4471695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4471695360 is about 66870.7362005235. The cubic root of 4471695360 is about 1647.4948651366.

The spelling of 4471695360 in words is "four billion, four hundred seventy-one million, six hundred ninety-five thousand, three hundred sixty".