7713321966 has 144 divisors (see below), whose sum is σ = 20529849600. Its totient is φ = 2081098656.

The previous prime is 7713321953. The next prime is 7713322033. The reversal of 7713321966 is 6691233177.

It is a super-4 number, since 4×7713321966⁴ (a number of 41 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7423275 + ... + 7424313.

It is an arithmetic number, because the mean of its divisors is an integer number (142568400).

Almost surely, 2^7713321966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7713321966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264924800).

7713321966 is an abundant number, since it is smaller than the sum of its proper divisors (12816527634).

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

7713321966 is a wasteful number, since it uses less digits than its factorization.

7713321966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 7713321966 is about 87825.5200155399. The cubic root of 7713321966 is about 1975.8189812636.

It can be divided in two parts, 77133 and 21966, that added together give a palindrome (99099).

The spelling of 7713321966 in words is "seven billion, seven hundred thirteen million, three hundred twenty-one thousand, nine hundred sixty-six".