77007245635657 has 8 divisors (see below), whose sum is σ = 77049359182152. Its totient is φ = 76965142320000.

The previous prime is 77007245635643. The next prime is 77007245635693. The reversal of 77007245635657 is 75653654270077.

It can be written as a sum of positive squares in 4 ways, for example, as 52913127287881 + 24094118347776 = 7274141^2 + 4908576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77007245635657 - 2¹⁹ = 77007245111369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77007245635457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12524653 + ... + 17631829.

It is an arithmetic number, because the mean of its divisors is an integer number (9631169897769).

Almost surely, 2^{77007245635657} is an apocalyptic number.

It is an amenable number.

77007245635657 is a deficient number, since it is larger than the sum of its proper divisors (42113546495).

77007245635657 is a wasteful number, since it uses less digits than its factorization.

77007245635657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115419.

The product of its (nonzero) digits is 259308000, while the sum is 64.

The spelling of 77007245635657 in words is "seventy-seven trillion, seven billion, two hundred forty-five million, six hundred thirty-five thousand, six hundred fifty-seven".