7737644345313 has 16 divisors (see below), whose sum is σ = 10898498894400. Its totient is φ = 4869542039040.

The previous prime is 7737644345311. The next prime is 7737644345317. The reversal of 7737644345313 is 3135434467377.

It is a happy number.

It is not a de Polignac number, because 7737644345313 - 2¹ = 7737644345311 is a prime.

It is a super-2 number, since 2×7737644345313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (7737644345311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241528728 + ... + 241560761.

It is an arithmetic number, because the mean of its divisors is an integer number (681156180900).

Almost surely, 2^{7737644345313} is an apocalyptic number.

It is an amenable number.

7737644345313 is a deficient number, since it is larger than the sum of its proper divisors (3160854549087).

7737644345313 is a wasteful number, since it uses less digits than its factorization.

7737644345313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483089792.

The product of its digits is 53343360, while the sum is 57.

The spelling of 7737644345313 in words is "seven trillion, seven hundred thirty-seven billion, six hundred forty-four million, three hundred forty-five thousand, three hundred thirteen".