7675161664 has 63 divisors (see below), whose sum is σ = 15628418197. Its totient is φ = 3739810304.

The previous prime is 7675161647. The next prime is 7675161667. The reversal of 7675161664 is 4661615767.

The square root of 7675161664 is 87608.

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., 1558670400 + 6116491264 = 39480^2 + 78208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7675161667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32940492 + ... + 32940724.

Almost surely, 2^7675161664 is an apocalyptic number.

7675161664 is the 87608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7675161664

7675161664 is an abundant number, since it is smaller than the sum of its proper divisors (7953256533).

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

7675161664 is an frugal number, since it uses more digits than its factorization.

7675161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 282 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The cubic root of 7675161664 is about 1972.5552542802. Note that the first 3 decimals are identical.

Multiplying 7675161664 by its sum of digits (49), we get a square (376082921536 = 613256²).

The spelling of 7675161664 in words is "seven billion, six hundred seventy-five million, one hundred sixty-one thousand, six hundred sixty-four".