7195968000 has 720 divisors, whose sum is σ = 28841700888. Its totient is φ = 1714176000.

The previous prime is 7195967971. The next prime is 7195968007. The reversal of 7195968000 is 8695917.

It can be written as a sum of positive squares in 4 ways, for example, as 976437504 + 6219530496 = 31248^2 + 78864^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×7195968000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7195968007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 232127985 + ... + 232128015.

Almost surely, 2^7195968000 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 7195968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420850444).

7195968000 is an abundant number, since it is smaller than the sum of its proper divisors (21645732888).

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

7195968000 is a wasteful number, since it uses less digits than its factorization.

7195968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 7195968000 is about 84829.0516273759. The cubic root of 7195968000 is about 1930.6182525362.

The spelling of 7195968000 in words is "seven billion, one hundred ninety-five million, nine hundred sixty-eight thousand".