7359783003664 has 405 divisors, whose sum is σ = 18675196207317. Its totient is φ = 2800225419264.

The previous prime is 7359783003631. The next prime is 7359783003673. The reversal of 7359783003664 is 4663003879537.

It is a happy number.

The square root of 7359783003664 is 2712892.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1636588021264 + 5723194982400 = 1279292^2 + 2392320^2 .

It is a super-2 number, since 2×7359783003664² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28637287824 + ... + 28637288080.

Almost surely, 2^{7359783003664} is an apocalyptic number.

7359783003664 is the 2712892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7359783003664

7359783003664 is an abundant number, since it is smaller than the sum of its proper divisors (11315413203653).

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

7359783003664 is a wasteful number, since it uses less digits than its factorization.

7359783003664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 61.

The spelling of 7359783003664 in words is "seven trillion, three hundred fifty-nine billion, seven hundred eighty-three million, three thousand, six hundred sixty-four".