4645785676077 has 480 divisors, whose sum is σ = 9610688102400. Its totient is φ = 2207729260800.

The previous prime is 4645785676061. The next prime is 4645785676111. The reversal of 4645785676077 is 7706765875464.

4645785676077 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 7 + 8 + 5 + 6 + 7 + 607 + 7 = 666.

It is not a de Polignac number, because 4645785676077 - 2⁴ = 4645785676061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4645785675996 and 4645785676014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645785677077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1793046052 + ... + 1793048642.

It is an arithmetic number, because the mean of its divisors is an integer number (20022266880).

Almost surely, 2^{4645785676077} is an apocalyptic number.

It is an amenable number.

4645785676077 is an abundant number, since it is smaller than the sum of its proper divisors (4964902426323).

4645785676077 is a wasteful number, since it uses less digits than its factorization.

4645785676077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 4645785676077 in words is "four trillion, six hundred forty-five billion, seven hundred eighty-five million, six hundred seventy-six thousand, seventy-seven".