7338864800 has 72 divisors (see below), whose sum is σ = 18100896156. Its totient is φ = 2905251840.

The previous prime is 7338864769. The next prime is 7338864809. The reversal of 7338864800 is 84688337.

It can be written as a sum of positive squares in 6 ways, for example, as 4870364944 + 2468499856 = 69788^2 + 49684^2 .

It is not an unprimeable number, because it can be changed into a prime (7338864809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30314 + ... + 124886.

Almost surely, 2^7338864800 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 7338864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050448078).

7338864800 is an abundant number, since it is smaller than the sum of its proper divisors (10762031356).

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

7338864800 is a wasteful number, since it uses less digits than its factorization.

7338864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94690 (or 94677 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The square root of 7338864800 is about 85667.1745769638. The cubic root of 7338864800 is about 1943.3139235348.

The spelling of 7338864800 in words is "seven billion, three hundred thirty-eight million, eight hundred sixty-four thousand, eight hundred".