8045692560 has 480 divisors, whose sum is σ = 29331694080. Its totient is φ = 1971560448.

The previous prime is 8045692531. The next prime is 8045692573. The reversal of 8045692560 is 652965408.

8045692560 is a `hidden beast` number, since 8 + 0 + 4 + 569 + 25 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 78113469 + ... + 78113571.

It is an arithmetic number, because the mean of its divisors is an integer number (61107696).

Almost surely, 2^8045692560 is an apocalyptic number.

8045692560 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 8045692560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665847040).

8045692560 is an abundant number, since it is smaller than the sum of its proper divisors (21286001520).

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

8045692560 is a wasteful number, since it uses less digits than its factorization.

8045692560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8045692560 is about 89697.7845880265. The cubic root of 8045692560 is about 2003.8004869085.

The spelling of 8045692560 in words is "eight billion, forty-five million, six hundred ninety-two thousand, five hundred sixty".