7364645308944 has 1125 divisors, whose sum is σ = 27584770859085. Its totient is φ = 1891401684480.

The previous prime is 7364645308901. The next prime is 7364645309009. The reversal of 7364645308944 is 4498035464637.

The square root of 7364645308944 is 2713788.

It is a perfect power (a square), and thus also a powerful number.

7364645308944 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 6 + 4 + 530 + 8 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1414168099344 + 5950477209600 = 1189188^2 + 2439360^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 82748823652 + ... + 82748823740.

Almost surely, 2^{7364645308944} is an apocalyptic number.

7364645308944 is the 2713788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7364645308944

7364645308944 is an abundant number, since it is smaller than the sum of its proper divisors (20220125550141).

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

7364645308944 is an frugal number, since it uses more digits than its factorization.

7364645308944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 7364645308944 in words is "seven trillion, three hundred sixty-four billion, six hundred forty-five million, three hundred eight thousand, nine hundred forty-four".