7661756928 has 320 divisors, whose sum is σ = 24946403328. Its totient is φ = 2039808000.

The previous prime is 7661756923. The next prime is 7661756951. The reversal of 7661756928 is 8296571667.

It is not an unprimeable number, because it can be changed into a prime (7661756923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30524803 + ... + 30525053.

Almost surely, 2^7661756928 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 7661756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12473201664).

7661756928 is an abundant number, since it is smaller than the sum of its proper divisors (17284646400).

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

7661756928 is a wasteful number, since it uses less digits than its factorization.

7661756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The square root of 7661756928 is about 87531.4625034907. The cubic root of 7661756928 is about 1971.4062235052.

The spelling of 7661756928 in words is "seven billion, six hundred sixty-one million, seven hundred fifty-six thousand, nine hundred twenty-eight".