77405600340648 has 96 divisors (see below), whose sum is σ = 218768921280000. Its totient is φ = 24678471083904.

The previous prime is 77405600340647. The next prime is 77405600340661. The reversal of 77405600340648 is 84604300650477.

77405600340648 is a `hidden beast` number, since 7 + 7 + 4 + 0 + 560 + 0 + 34 + 0 + 6 + 48 = 666.

It is a super-3 number, since 3×77405600340648³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 77405600340594 and 77405600340603.

It is not an unprimeable number, because it can be changed into a prime (77405600340647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24596361 + ... + 27564327.

It is an arithmetic number, because the mean of its divisors is an integer number (2278842930000).

Almost surely, 2^{77405600340648} is an apocalyptic number.

It is an amenable number.

77405600340648 is an abundant number, since it is smaller than the sum of its proper divisors (141363320939352).

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

77405600340648 is a wasteful number, since it uses less digits than its factorization.

77405600340648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983751 (or 2983744 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 77405600340648 in words is "seventy-seven trillion, four hundred five billion, six hundred million, three hundred forty thousand, six hundred forty-eight".