7606677632 has 64 divisors (see below), whose sum is σ = 15425429400. Its totient is φ = 3735773184.

The previous prime is 7606677623. The next prime is 7606677697. The reversal of 7606677632 is 2367766067.

It can be written as a sum of positive squares in 4 ways, for example, as 2979413056 + 4627264576 = 54584^2 + 68024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786418 + ... + 1790670.

Almost surely, 2^7606677632 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 7606677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712714700).

7606677632 is an abundant number, since it is smaller than the sum of its proper divisors (7818751768).

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

7606677632 is a wasteful number, since it uses less digits than its factorization.

7606677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 50.

The square root of 7606677632 is about 87216.2693079680. The cubic root of 7606677632 is about 1966.6708036046.

The spelling of 7606677632 in words is "seven billion, six hundred six million, six hundred seventy-seven thousand, six hundred thirty-two".