77734613734561 has 16 divisors (see below), whose sum is σ = 89228813990400. Its totient is φ = 66338097134400.

The previous prime is 77734613734537. The next prime is 77734613734571. The reversal of 77734613734561 is 16543731643777.

It is not a de Polignac number, because 77734613734561 - 2¹⁵ = 77734613701793 is a prime.

It is a super-2 number, since 2×77734613734561² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77734613734493 and 77734613734502.

It is not an unprimeable number, because it can be changed into a prime (77734613734571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12884761 + ... + 17930038.

It is an arithmetic number, because the mean of its divisors is an integer number (5576800874400).

Almost surely, 2^{77734613734561} is an apocalyptic number.

It is an amenable number.

77734613734561 is a deficient number, since it is larger than the sum of its proper divisors (11494200255839).

77734613734561 is a wasteful number, since it uses less digits than its factorization.

77734613734561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30816384.

The product of its digits is 186701760, while the sum is 64.

The spelling of 77734613734561 in words is "seventy-seven trillion, seven hundred thirty-four billion, six hundred thirteen million, seven hundred thirty-four thousand, five hundred sixty-one".