77633651745 has 80 divisors (see below), whose sum is σ = 149976121680. Its totient is φ = 38192726016.

The previous prime is 77633651731. The next prime is 77633651759. The reversal of 77633651745 is 54715633677.

It is an interprime number because it is at equal distance from previous prime (77633651731) and next prime (77633651759).

It can be written as a sum of positive squares in 8 ways, for example, as 5141320209 + 72492331536 = 71703^2 + 269244^2 .

It is not a de Polignac number, because 77633651745 - 2⁷ = 77633651617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77633651691 and 77633651700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8930361 + ... + 8939049.

It is an arithmetic number, because the mean of its divisors is an integer number (1874701521).

Almost surely, 2^77633651745 is an apocalyptic number.

It is an amenable number.

77633651745 is a deficient number, since it is larger than the sum of its proper divisors (72342469935).

77633651745 is a wasteful number, since it uses less digits than its factorization.

77633651745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10407 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 77633651745 in words is "seventy-seven billion, six hundred thirty-three million, six hundred fifty-one thousand, seven hundred forty-five".