7665606000 has 960 divisors, whose sum is σ = 31938955776. Its totient is φ = 1695744000.

The previous prime is 7665605957. The next prime is 7665606007. The reversal of 7665606000 is 6065667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7665606007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163097977 + ... + 163098023.

Almost surely, 2^7665606000 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 7665606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969477888).

7665606000 is an abundant number, since it is smaller than the sum of its proper divisors (24273349776).

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

7665606000 is a wasteful number, since it uses less digits than its factorization.

7665606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7665606000 is about 87553.4465341028. The cubic root of 7665606000 is about 1971.7362963694.

The spelling of 7665606000 in words is "seven billion, six hundred sixty-five million, six hundred six thousand".