7681145760 has 120 divisors (see below), whose sum is σ = 27108089316. Its totient is φ = 2048302080.

The previous prime is 7681145753. The next prime is 7681145761. The reversal of 7681145760 is 675411867.

7681145760 is a `hidden beast` number, since 7 + 68 + 1 + 14 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7633866384 + 47279376 = 87372^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (7681145761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 283381 + ... + 309300.

Almost surely, 2^7681145760 is an apocalyptic number.

It is an amenable number.

7681145760 is an abundant number, since it is smaller than the sum of its proper divisors (19426943556).

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

7681145760 is a wasteful number, since it uses less digits than its factorization.

7681145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592708 (or 592691 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7681145760 is about 87642.1460257564. The cubic root of 7681145760 is about 1973.0677687227.

The spelling of 7681145760 in words is "seven billion, six hundred eighty-one million, one hundred forty-five thousand, seven hundred sixty".