7681170240 has 168 divisors, whose sum is σ = 26507544648. Its totient is φ = 2041528320.

The previous prime is 7681170221. The next prime is 7681170247. The reversal of 7681170240 is 420711867.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 7669555776 = 3408^2 + 87576^2 .

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 = 7681170195 and 7681170204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681170247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897180 + ... + 905700.

Almost surely, 2^7681170240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7681170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253772324).

7681170240 is an abundant number, since it is smaller than the sum of its proper divisors (18826374408).

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

7681170240 is a wasteful number, since it uses less digits than its factorization.

7681170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7681170240 is about 87642.2856844800. The cubic root of 7681170240 is about 1973.0698647922.

The spelling of 7681170240 in words is "seven billion, six hundred eighty-one million, one hundred seventy thousand, two hundred forty".