7346544160 has 96 divisors (see below), whose sum is σ = 17622904320. Its totient is φ = 2893744128.

The previous prime is 7346544097. The next prime is 7346544209. The reversal of 7346544160 is 614456437.

It is a super-2 number, since 2×7346544160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 4029009 + ... + 4030831.

It is an arithmetic number, because the mean of its divisors is an integer number (183571920).

Almost surely, 2^7346544160 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 7346544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811452160).

7346544160 is an abundant number, since it is smaller than the sum of its proper divisors (10276360160).

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

7346544160 is a wasteful number, since it uses less digits than its factorization.

7346544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 7346544160 is about 85711.9837595654. The cubic root of 7346544160 is about 1943.9915126614.

The spelling of 7346544160 in words is "seven billion, three hundred forty-six million, five hundred forty-four thousand, one hundred sixty".