7665217992 has 192 divisors, whose sum is σ = 22417274880. Its totient is φ = 2357569536.

The previous prime is 7665217949. The next prime is 7665217999. The reversal of 7665217992 is 2997125667.

It is not an unprimeable number, because it can be changed into a prime (7665217999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20013433 + ... + 20013815.

It is an arithmetic number, because the mean of its divisors is an integer number (116756640).

Almost surely, 2^7665217992 is an apocalyptic number.

7665217992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7665217992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208637440).

7665217992 is an abundant number, since it is smaller than the sum of its proper divisors (14752056888).

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

7665217992 is a wasteful number, since it uses less digits than its factorization.

7665217992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 685 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 7665217992 is about 87551.2306709620. The cubic root of 7665217992 is about 1971.7030281857.

The spelling of 7665217992 in words is "seven billion, six hundred sixty-five million, two hundred seventeen thousand, nine hundred ninety-two".