8045645760 has 840 divisors, whose sum is σ = 32960370960. Its totient is φ = 1851310080.

The previous prime is 8045645749. The next prime is 8045645771. The reversal of 8045645760 is 675465408.

8045645760 is a `hidden beast` number, since 80 + 4 + 564 + 5 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8045645749) and next prime (8045645771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 259536945 + ... + 259536975.

Almost surely, 2^8045645760 is an apocalyptic number.

8045645760 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 8045645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480185480).

8045645760 is an abundant number, since it is smaller than the sum of its proper divisors (24914725200).

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

8045645760 is a wasteful number, since it uses less digits than its factorization.

8045645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 8045645760 is about 89697.5237116388. The cubic root of 8045645760 is about 2003.7966016808.

The spelling of 8045645760 in words is "eight billion, forty-five million, six hundred forty-five thousand, seven hundred sixty".