7661580528 has 320 divisors, whose sum is σ = 24427008000. Its totient is φ = 2022838272.

The previous prime is 7661580481. The next prime is 7661580593. The reversal of 7661580528 is 8250851667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28481578 + ... + 28481846.

It is an arithmetic number, because the mean of its divisors is an integer number (76334400).

Almost surely, 2^7661580528 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 7661580528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504000).

7661580528 is an abundant number, since it is smaller than the sum of its proper divisors (16765427472).

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

7661580528 is a wasteful number, since it uses less digits than its factorization.

7661580528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 7661580528 is about 87530.4548600086. The cubic root of 7661580528 is about 1971.3910938715.

The spelling of 7661580528 in words is "seven billion, six hundred sixty-one million, five hundred eighty thousand, five hundred twenty-eight".