7649317747600 has 135 divisors (see below), whose sum is σ = 18691940235891. Its totient is φ = 3008240083200.

The previous prime is 7649317747451. The next prime is 7649317747607. The reversal of 7649317747600 is 67477139467.

It is a happy number.

The square root of 7649317747600 is 2765740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3523414309776 + 4125903437824 = 1877076^2 + 2031232^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7649317747607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3374201667 + ... + 3374203933.

Almost surely, 2^{7649317747600} is an apocalyptic number.

7649317747600 is the 2765740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7649317747600

7649317747600 is an abundant number, since it is smaller than the sum of its proper divisors (11042622488291).

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

7649317747600 is an frugal number, since it uses more digits than its factorization.

7649317747600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 61.

The spelling of 7649317747600 in words is "seven trillion, six hundred forty-nine billion, three hundred seventeen million, seven hundred forty-seven thousand, six hundred".