7289049600 has 960 divisors, whose sum is σ = 32149370880. Its totient is φ = 1581465600.

The previous prime is 7289049587. The next prime is 7289049611. The reversal of 7289049600 is 69409827.

It is a happy number.

7289049600 is a `hidden beast` number, since 72 + 8 + 90 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55641535 + ... + 55641665.

It is an arithmetic number, because the mean of its divisors is an integer number (33488928).

Almost surely, 2^7289049600 is an apocalyptic number.

7289049600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7289049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074685440).

7289049600 is an abundant number, since it is smaller than the sum of its proper divisors (24860321280).

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

7289049600 is a wasteful number, since it uses less digits than its factorization.

7289049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7289049600 is about 85375.9310344549. The cubic root of 7289049600 is about 1938.9069550321.

The spelling of 7289049600 in words is "seven billion, two hundred eighty-nine million, forty-nine thousand, six hundred".