7346544066 has 96 divisors (see below), whose sum is σ = 17194045440. Its totient is φ = 2259526752.

The previous prime is 7346544053. The next prime is 7346544097. The reversal of 7346544066 is 6604456437.

It is a happy number.

7346544066 is a `hidden beast` number, since 7 + 3 + 46 + 544 + 0 + 66 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8926131 + ... + 8926953.

It is an arithmetic number, because the mean of its divisors is an integer number (179104640).

Almost surely, 2^7346544066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7346544066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597022720).

7346544066 is an abundant number, since it is smaller than the sum of its proper divisors (9847501374).

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

7346544066 is a wasteful number, since it uses less digits than its factorization.

7346544066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 7346544066 is about 85711.9832112173. The cubic root of 7346544066 is about 1943.9915043702.

It can be divided in two parts, 734654 and 4066, that added together give a triangular number (738720 = T₁₂₁₅).

The spelling of 7346544066 in words is "seven billion, three hundred forty-six million, five hundred forty-four thousand, sixty-six".