7653007689649 has 9 divisors (see below), whose sum is σ = 8902500859371. Its totient is φ = 6559704278400.

The previous prime is 7653007689599. The next prime is 7653007689653. The reversal of 7653007689649 is 9469867003567.

The square root of 7653007689649 is 2766407.

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

It can be written as a sum of positive squares in only one way, i.e., 3136784049 + 7649870905600 = 56007^2 + 2765840^2 .

It is not a de Polignac number, because 7653007689649 - 2¹³ = 7653007681457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7653007689689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19167249 + ... + 19562449.

Almost surely, 2^{7653007689649} is an apocalyptic number.

7653007689649 is the 2766407-th square number.

7653007689649 is the 1383204-th centered octagonal number.

It is an amenable number.

7653007689649 is a deficient number, since it is larger than the sum of its proper divisors (1249493169722).

7653007689649 is an frugal number, since it uses more digits than its factorization.

7653007689649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790416 (or 395208 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 70.

The spelling of 7653007689649 in words is "seven trillion, six hundred fifty-three billion, seven million, six hundred eighty-nine thousand, six hundred forty-nine".