7681441536 has 108 divisors (see below), whose sum is σ = 22746322872. Its totient is φ = 2491250688.

The previous prime is 7681441529. The next prime is 7681441541. The reversal of 7681441536 is 6351441867.

7681441536 is a `hidden beast` number, since 7 + 68 + 14 + 41 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7681441491 and 7681441500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40195 + ... + 130301.

Almost surely, 2^7681441536 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 7681441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11373161436).

7681441536 is an abundant number, since it is smaller than the sum of its proper divisors (15064881336).

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

7681441536 is a wasteful number, since it uses less digits than its factorization.

7681441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90166 (or 90149 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 7681441536 is about 87643.8334168468. The cubic root of 7681441536 is about 1973.0930938768.

The spelling of 7681441536 in words is "seven billion, six hundred eighty-one million, four hundred forty-one thousand, five hundred thirty-six".