77542069536 has 288 divisors, whose sum is σ = 237494799360. Its totient is φ = 23911759872.

The previous prime is 77542069523. The next prime is 77542069541. The reversal of 77542069536 is 63596024577.

77542069536 is a `hidden beast` number, since 7 + 7 + 5 + 42 + 0 + 69 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167477241 + ... + 167477703.

It is an arithmetic number, because the mean of its divisors is an integer number (824634720).

Almost surely, 2^77542069536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77542069536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118747399680).

77542069536 is an abundant number, since it is smaller than the sum of its proper divisors (159952729824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77542069536 is a wasteful number, since it uses less digits than its factorization.

77542069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 77542069536 in words is "seventy-seven billion, five hundred forty-two million, sixty-nine thousand, five hundred thirty-six".