7275008000 has 208 divisors, whose sum is σ = 19570723536. Its totient is φ = 2683699200.

The previous prime is 7275007997. The next prime is 7275008009. The reversal of 7275008000 is 8005727.

It can be written as a sum of positive squares in 8 ways, for example, as 1484406784 + 5790601216 = 38528^2 + 76096^2 .

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7275008009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655454 + ... + 6656546.

It is an arithmetic number, because the mean of its divisors is an integer number (94090017).

Almost surely, 2^7275008000 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 7275008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785361768).

7275008000 is an abundant number, since it is smaller than the sum of its proper divisors (12295715536).

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

7275008000 is a wasteful number, since it uses less digits than its factorization.

7275008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 7275008000 is about 85293.6574429776. The cubic root of 7275008000 is about 1937.6611201425.

The spelling of 7275008000 in words is "seven billion, two hundred seventy-five million, eight thousand".