7864320000 has 230 divisors, whose sum is σ = 26206008268. Its totient is φ = 2097152000.

The previous prime is 7864319989. The next prime is 7864320043. The reversal of 7864320000 is 234687.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7864320000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1572863998 + ... + 1572864002.

Almost surely, 2^7864320000 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 7864320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103004134).

7864320000 is an abundant number, since it is smaller than the sum of its proper divisors (18341688268).

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

7864320000 is an frugal number, since it uses more digits than its factorization.

7864320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7864320000 is about 88681.0013475265. The cubic root of 7864320000 is about 1988.6288038105.

7864320000 divided by its sum of digits (30) gives a cube (262144000 = 640³).

Adding to 7864320000 its reverse (234687), we get a palindrome (7864554687).

The spelling of 7864320000 in words is "seven billion, eight hundred sixty-four million, three hundred twenty thousand".