7340800896 has 288 divisors, whose sum is σ = 25011091560. Its totient is φ = 2052864000.

The previous prime is 7340800877. The next prime is 7340800913. The reversal of 7340800896 is 6980080437.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1810071 + ... + 1814121.

Almost surely, 2^7340800896 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 7340800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12505545780).

7340800896 is an abundant number, since it is smaller than the sum of its proper divisors (17670290664).

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

7340800896 is a wasteful number, since it uses less digits than its factorization.

7340800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7340800896 is about 85678.4739359893. The cubic root of 7340800896 is about 1943.4847997127.

The spelling of 7340800896 in words is "seven billion, three hundred forty million, eight hundred thousand, eight hundred ninety-six".