7713216000 has 480 divisors, whose sum is σ = 31766948928. Its totient is φ = 1762099200.

The previous prime is 7713215999. The next prime is 7713216001. The reversal of 7713216000 is 6123177.

It is an interprime number because it is at equal distance from previous prime (7713215999) and next prime (7713216001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7713216001) 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, 4031044 + ... + 4032956.

Almost surely, 2^7713216000 is an apocalyptic number.

7713216000 is a gapful number since it is divisible by the number (70) 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 7713216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883474464).

7713216000 is an abundant number, since it is smaller than the sum of its proper divisors (24053732928).

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

7713216000 is a wasteful number, since it uses less digits than its factorization.

7713216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7713216000 is about 87824.9167377914. The cubic root of 7713216000 is about 1975.8099332557.

Adding to 7713216000 its reverse (6123177), we get a palindrome (7719339177).

The spelling of 7713216000 in words is "seven billion, seven hundred thirteen million, two hundred sixteen thousand".