7641688064 has 48 divisors (see below), whose sum is σ = 15298510500. Its totient is φ = 3816128512.

The previous prime is 7641688063. The next prime is 7641688069. The reversal of 7641688064 is 4608861467.

It can be written as a sum of positive squares in 2 ways, for example, as 7637361664 + 4326400 = 87392^2 + 2080^2 .

It is not an unprimeable number, because it can be changed into a prime (7641688063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2146574 + ... + 2150130.

Almost surely, 2^7641688064 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 7641688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649255250).

7641688064 is an abundant number, since it is smaller than the sum of its proper divisors (7656822436).

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

7641688064 is a wasteful number, since it uses less digits than its factorization.

7641688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 7641688064 is about 87416.7493332942. The cubic root of 7641688064 is about 1969.6834472946.

The spelling of 7641688064 in words is "seven billion, six hundred forty-one million, six hundred eighty-eight thousand, sixty-four".