7289692416 has 288 divisors, whose sum is σ = 22869907200. Its totient is φ = 2286305280.

The previous prime is 7289692409. The next prime is 7289692441. The reversal of 7289692416 is 6142969827.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8217925 + ... + 8218811.

It is an arithmetic number, because the mean of its divisors is an integer number (79409400).

Almost surely, 2^7289692416 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 7289692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434953600).

7289692416 is an abundant number, since it is smaller than the sum of its proper divisors (15580214784).

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

7289692416 is a wasteful number, since it uses less digits than its factorization.

7289692416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 962 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 7289692416 is about 85379.6955721909. The cubic root of 7289692416 is about 1938.9639502896.

The spelling of 7289692416 in words is "seven billion, two hundred eighty-nine million, six hundred ninety-two thousand, four hundred sixteen".