7667605506 has 64 divisors (see below), whose sum is σ = 18047753856. Its totient is φ = 2145561600.

The previous prime is 7667605493. The next prime is 7667605541. The reversal of 7667605506 is 6055067667.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5005 + ... + 123936.

It is an arithmetic number, because the mean of its divisors is an integer number (281996154).

Almost surely, 2^7667605506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7667605506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023876928).

7667605506 is an abundant number, since it is smaller than the sum of its proper divisors (10380148350).

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

7667605506 is a wasteful number, since it uses less digits than its factorization.

7667605506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129027.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 7667605506 is about 87564.8645633624. The cubic root of 7667605506 is about 1971.9077181642.

The spelling of 7667605506 in words is "seven billion, six hundred sixty-seven million, six hundred five thousand, five hundred six".