7666753536 has 336 divisors, whose sum is σ = 25165598640. Its totient is φ = 2229534720.

The previous prime is 7666753529. The next prime is 7666753537. The reversal of 7666753536 is 6353576667.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666753537) 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, 18210606 + ... + 18211026.

It is an arithmetic number, because the mean of its divisors is an integer number (74897615).

Almost surely, 2^7666753536 is an apocalyptic number.

7666753536 is a gapful number since it is divisible by the number (76) 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 7666753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582799320).

7666753536 is an abundant number, since it is smaller than the sum of its proper divisors (17498845104).

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

7666753536 is a wasteful number, since it uses less digits than its factorization.

7666753536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 458 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The square root of 7666753536 is about 87559.9996345363. Note that the first 3 decimals coincide. The cubic root of 7666753536 is about 1971.8346806540.

The spelling of 7666753536 in words is "seven billion, six hundred sixty-six million, seven hundred fifty-three thousand, five hundred thirty-six".