8645460480 has 400 divisors, whose sum is σ = 31273527384. Its totient is φ = 2282618880.

The previous prime is 8645460443. The next prime is 8645460491. The reversal of 8645460480 is 840645468.

8645460480 is a `hidden beast` number, since 8 + 64 + 54 + 60 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8573278464 + 72182016 = 92592^2 + 8496^2 .

It is a super-2 number, since 2×8645460480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35873160 + ... + 35873400.

Almost surely, 2^8645460480 is an apocalyptic number.

8645460480 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 8645460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636763692).

8645460480 is an abundant number, since it is smaller than the sum of its proper divisors (22628066904).

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

8645460480 is a wasteful number, since it uses less digits than its factorization.

8645460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8645460480 is about 92980.9683752541. The cubic root of 8645460480 is about 2052.4033268959.

The spelling of 8645460480 in words is "eight billion, six hundred forty-five million, four hundred sixty thousand, four hundred eighty".