8045706240 has 1056 divisors, whose sum is σ = 34761007680. Its totient is φ = 1751777280.

The previous prime is 8045706223. The next prime is 8045706269. The reversal of 8045706240 is 426075408.

8045706240 is a `hidden beast` number, since 80 + 4 + 570 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8045706195 and 8045706204.

It is a congruent number.

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, 217451502 + ... + 217451538.

Almost surely, 2^8045706240 is an apocalyptic number.

8045706240 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 8045706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380503840).

8045706240 is an abundant number, since it is smaller than the sum of its proper divisors (26715301440).

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

8045706240 is a wasteful number, since it uses less digits than its factorization.

8045706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8045706240 is about 89697.8608440580. The cubic root of 8045706240 is about 2003.8016225877.

The spelling of 8045706240 in words is "eight billion, forty-five million, seven hundred six thousand, two hundred forty".