7346406816 has 288 divisors, whose sum is σ = 25451532288. Its totient is φ = 1964413440.

The previous prime is 7346406811. The next prime is 7346406883. The reversal of 7346406816 is 6186046437.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (7346406811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177611 + ... + 2180981.

It is an arithmetic number, because the mean of its divisors is an integer number (88373376).

Almost surely, 2^7346406816 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 7346406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725766144).

7346406816 is an abundant number, since it is smaller than the sum of its proper divisors (18105125472).

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

7346406816 is a wasteful number, since it uses less digits than its factorization.

7346406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7346406816 is about 85711.1825609704. The cubic root of 7346406816 is about 1943.9793982474.

The spelling of 7346406816 in words is "seven billion, three hundred forty-six million, four hundred six thousand, eight hundred sixteen".