7690588416 has 567 divisors, whose sum is σ = 27728991381. Its totient is φ = 2121541632.

The previous prime is 7690588393. The next prime is 7690588429. The reversal of 7690588416 is 6148850967.

The square root of 7690588416 is 87696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 3657830400 = 63504^2 + 60480^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 265192690 + ... + 265192718.

Almost surely, 2^7690588416 is an apocalyptic number.

7690588416 is the 87696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7690588416

7690588416 is an abundant number, since it is smaller than the sum of its proper divisors (20038402965).

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

7690588416 is an frugal number, since it uses more digits than its factorization.

7690588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The cubic root of 7690588416 is about 1973.8759541789.

The spelling of 7690588416 in words is "seven billion, six hundred ninety million, five hundred eighty-eight thousand, four hundred sixteen".