8460745040 has 160 divisors (see below), whose sum is σ = 22570555392. Its totient is φ = 2919488000.

The previous prime is 8460745037. The next prime is 8460745043. The reversal of 8460745040 is 405470648.

It is an interprime number because it is at equal distance from previous prime (8460745037) and next prime (8460745043).

It is a junction number, because it is equal to n+sod(n) for n = 8460744985 and 8460745003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8460745043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649845 + ... + 2653035.

Almost surely, 2^8460745040 is an apocalyptic number.

8460745040 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 8460745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11285277696).

8460745040 is an abundant number, since it is smaller than the sum of its proper divisors (14109810352).

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

8460745040 is a wasteful number, since it uses less digits than its factorization.

8460745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 8460745040 is about 91982.3082989332. The cubic root of 8460745040 is about 2037.6810314515.

The spelling of 8460745040 in words is "eight billion, four hundred sixty million, seven hundred forty-five thousand, forty".