8180473440 has 384 divisors, whose sum is σ = 28614684672. Its totient is φ = 1955266560.

The previous prime is 8180473429. The next prime is 8180473447. The reversal of 8180473440 is 443740818.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180473447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18465859 + ... + 18466301.

It is an arithmetic number, because the mean of its divisors is an integer number (74517408).

Almost surely, 2^8180473440 is an apocalyptic number.

8180473440 is a gapful number since it is divisible by the number (80) 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 8180473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307342336).

8180473440 is an abundant number, since it is smaller than the sum of its proper divisors (20434211232).

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

8180473440 is a wasteful number, since it uses less digits than its factorization.

8180473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 8180473440 is about 90445.9697277883. The cubic root of 8180473440 is about 2014.9277571605.

The spelling of 8180473440 in words is "eight billion, one hundred eighty million, four hundred seventy-three thousand, four hundred forty".