7681183488 has 216 divisors, whose sum is σ = 24297436800. Its totient is φ = 2314414080.

The previous prime is 7681183481. The next prime is 7681183519. The reversal of 7681183488 is 8843811867.

It is a happy number.

7681183488 is a `hidden beast` number, since 7 + 6 + 81 + 1 + 83 + 488 = 666.

It is a super-2 number, since 2×7681183488² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681183481) 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, 5042695 + ... + 5044217.

Almost surely, 2^7681183488 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 7681183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148718400).

7681183488 is an abundant number, since it is smaller than the sum of its proper divisors (16616253312).

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

7681183488 is a wasteful number, since it uses less digits than its factorization.

7681183488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 7681183488 is about 87642.3612644023. The cubic root of 7681183488 is about 1973.0709991339.

The spelling of 7681183488 in words is "seven billion, six hundred eighty-one million, one hundred eighty-three thousand, four hundred eighty-eight".