7344643680 has 384 divisors, whose sum is σ = 28287221760. Its totient is φ = 1765048320.

The previous prime is 7344643679. The next prime is 7344643687. The reversal of 7344643680 is 863464437.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344643687) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6034432 + ... + 6035648.

It is an arithmetic number, because the mean of its divisors is an integer number (73664640).

Almost surely, 2^7344643680 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 7344643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14143610880).

7344643680 is an abundant number, since it is smaller than the sum of its proper divisors (20942578080).

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

7344643680 is a wasteful number, since it uses less digits than its factorization.

7344643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 7344643680 is about 85700.8966114124. The cubic root of 7344643680 is about 1943.8238675967.

The spelling of 7344643680 in words is "seven billion, three hundred forty-four million, six hundred forty-three thousand, six hundred eighty".