7816320000 has 660 divisors, whose sum is σ = 29927795040. Its totient is φ = 1959936000.

The previous prime is 7816319981. The next prime is 7816320019. The reversal of 7816320000 is 236187.

It is an interprime number because it is at equal distance from previous prime (7816319981) and next prime (7816320019).

It is a super-2 number, since 2×7816320000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 132479971 + ... + 132480029.

It is an arithmetic number, because the mean of its divisors is an integer number (45345144).

Almost surely, 2^7816320000 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 7816320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14963897520).

7816320000 is an abundant number, since it is smaller than the sum of its proper divisors (22111475040).

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

7816320000 is a wasteful number, since it uses less digits than its factorization.

7816320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7816320000 is about 88409.9541906905. The cubic root of 7816320000 is about 1984.5746687713.

Adding to 7816320000 its reverse (236187), we get a palindrome (7816556187).

The spelling of 7816320000 in words is "seven billion, eight hundred sixteen million, three hundred twenty thousand".